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12001022112 = 253472659801
BaseRepresentation
bin10110010110101000…
…10001000010100000
31010222101001002102110
423023110101002200
5144034230201422
65302503315320
7603253001442
oct131324210240
933871032373
1012001022112
1150a929a5a2
1223ab14bb40
131193431b21
1481bc06492
154a38c360c
hex2cb5110a0

12001022112 has 48 divisors (see below), whose sum is σ = 32172964992. Its totient is φ = 3915225600.

The previous prime is 12001022107. The next prime is 12001022119. The reversal of 12001022112 is 21122010021.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (12001022119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1325389 + ... + 1334412.

It is an arithmetic number, because the mean of its divisors is an integer number (670270104).

Almost surely, 212001022112 is an apocalyptic number.

12001022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001022112 is an abundant number, since it is smaller than the sum of its proper divisors (20171942880).

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

12001022112 is a wasteful number, since it uses less digits than its factorization.

12001022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659861 (or 2659853 counting only the distinct ones).

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

Adding to 12001022112 its reverse (21122010021), we get a palindrome (33123032133).

The spelling of 12001022112 in words is "twelve billion, one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 2659801 5319602 7979403 10639204 15958806 21278408 31917612 42556816 63835224 85113632 125010647 127670448 250021294 255340896 375031941 500042588 750063882 1000085176 1500127764 2000170352 3000255528 4000340704 6000511056 12001022112