12003561312 has 96 divisors (see below), whose sum is σ = 32664425472. Its totient is φ = 3856541184.

The previous prime is 12003561307. The next prime is 12003561347. The reversal of 12003561312 is 21316530021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12003561312² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364273 + ... + 395855.

It is an arithmetic number, because the mean of its divisors is an integer number (340254432).

Almost surely, 2^12003561312 is an apocalyptic number.

12003561312 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 12003561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332212736).

12003561312 is an abundant number, since it is smaller than the sum of its proper divisors (20660864160).

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

12003561312 is a wasteful number, since it uses less digits than its factorization.

12003561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31740 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 12003561312 in words is "twelve billion, three million, five hundred sixty-one thousand, three hundred twelve".