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12221231424 = 263233774797
BaseRepresentation
bin10110110000111000…
…10011000101000000
31011112201101212210220
423120130103011000
5200012113401144
65340411223040
7611565516213
oct133034230500
934481355726
1012221231424
115201626066
122450a47a80
1311c9c438ac
1483d16977a
154b7dc0919
hex2d8713140

12221231424 has 112 divisors (see below), whose sum is σ = 34653614208. Its totient is φ = 3791259648.

The previous prime is 12221231411. The next prime is 12221231431. The reversal of 12221231424 is 42413212221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12221231394 and 12221231403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125994 + ... + 200790.

Almost surely, 212221231424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326807104).

12221231424 is an abundant number, since it is smaller than the sum of its proper divisors (22432382784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221231424 is a wasteful number, since it uses less digits than its factorization.

12221231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74872 (or 74862 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12221231424 its reverse (42413212221), we get a palindrome (54634443645).

The spelling of 12221231424 in words is "twelve billion, two hundred twenty-one million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 138 148 184 192 222 276 296 368 444 552 592 736 851 888 1104 1184 1472 1702 1776 2208 2368 2553 3404 3552 4416 5106 6808 7104 10212 13616 20424 27232 40848 54464 74797 81696 149594 163392 224391 299188 448782 598376 897564 1196752 1720331 1795128 2393504 2767489 3440662 3590256 4787008 5160993 5534978 6881324 7180512 8302467 10321986 11069956 13762648 14361024 16604934 20643972 22139912 27525296 33209868 41287944 44279824 55050592 63652247 66419736 82575888 88559648 110101184 127304494 132839472 165151776 177119296 190956741 254608988 265678944 330303552 381913482 509217976 531357888 763826964 1018435952 1527653928 2036871904 3055307856 4073743808 6110615712 12221231424