12010121011000 has 128 divisors (see below), whose sum is σ = 32334058224000. Its totient is φ = 4090119475200.

The previous prime is 12010121010997. The next prime is 12010121011003. The reversal of 12010121011000 is 11012101021.

It is an interprime number because it is at equal distance from previous prime (12010121010997) and next prime (12010121011003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010121011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4714489 + ... + 6800488.

It is an arithmetic number, because the mean of its divisors is an integer number (252609829875).

Almost surely, 2^{12010121011000} is an apocalyptic number.

12010121011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010121011000 is an abundant number, since it is smaller than the sum of its proper divisors (20323937213000).

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

12010121011000 is a wasteful number, since it uses less digits than its factorization.

12010121011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515154 (or 11515140 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12010121011000 its reverse (11012101021), we get a palindrome (12021133112021).

The spelling of 12010121011000 in words is "twelve trillion, ten billion, one hundred twenty-one million, eleven thousand".