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12023001312 = 2537312332477
BaseRepresentation
bin10110011001010000…
…00111000011100000
31011000220101202012220
423030220013003200
5144110342020222
65305010351040
7603640552650
oct131450070340
934026352186
1012023001312
11510a741923
1223b658b480
131197b5907a
14820ac8360
154a57b5b5c
hex2cca070e0

12023001312 has 192 divisors, whose sum is σ = 37407412224. Its totient is φ = 3308728320.

The previous prime is 12023001269. The next prime is 12023001323. The reversal of 12023001312 is 21310032021.

It is a junction number, because it is equal to n+sod(n) for n = 12023001291 and 12023001300.

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 31 ways as a sum of consecutive naturals, for example, 4852618 + ... + 4855094.

It is an arithmetic number, because the mean of its divisors is an integer number (194830272).

Almost surely, 212023001312 is an apocalyptic number.

12023001312 is a gapful number since it is divisible by the number (12) 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 12023001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18703706112).

12023001312 is an abundant number, since it is smaller than the sum of its proper divisors (25384410912).

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

12023001312 is a wasteful number, since it uses less digits than its factorization.

12023001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12023001312 its reverse (21310032021), we get a palindrome (33333033333).

The spelling of 12023001312 in words is "twelve billion, twenty-three million, one thousand, three hundred twelve".