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12022112100 = 22352971273253
BaseRepresentation
bin10110011001001001…
…01101111101100100
31011000211201120110010
423030210231331210
5144110130041400
65304535330220
7603630160335
oct131444557544
934024646403
1012022112100
11510a194839
1223b6220970
1311979073cb
1482093628c
154a568c450
hex2cc92df64

12022112100 has 144 divisors (see below), whose sum is σ = 35430176768. Its totient is φ = 3146895360.

The previous prime is 12022112057. The next prime is 12022112147. The reversal of 12022112100 is 121122021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3694074 + ... + 3697326.

Almost surely, 212022112100 is an apocalyptic number.

12022112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715088384).

12022112100 is an abundant number, since it is smaller than the sum of its proper divisors (23408064668).

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

12022112100 is a wasteful number, since it uses less digits than its factorization.

12022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022112100 its reverse (121122021), we get a palindrome (12143234121).

The spelling of 12022112100 in words is "twelve billion, twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 127 150 194 254 291 300 381 388 485 508 582 635 762 970 1164 1270 1455 1524 1905 1940 2425 2540 2910 3175 3253 3810 4850 5820 6350 6506 7275 7620 9525 9700 9759 12319 12700 13012 14550 16265 19050 19518 24638 29100 32530 36957 38100 39036 48795 49276 61595 65060 73914 81325 97590 123190 147828 162650 184785 195180 243975 246380 307975 315541 325300 369570 413131 487950 615950 631082 739140 826262 923925 946623 975900 1231900 1239393 1262164 1577705 1652524 1847850 1893246 2065655 2478786 3155410 3695700 3786492 4131310 4733115 4957572 6196965 6310820 7888525 8262620 9466230 10328275 12393930 15777050 18932460 20656550 23665575 24787860 30984825 31554100 40073707 41313100 47331150 61969650 80147414 94662300 120221121 123939300 160294828 200368535 240442242 400737070 480884484 601105605 801474140 1001842675 1202211210 2003685350 2404422420 3005528025 4007370700 6011056050 12022112100