12051164001030 has 384 divisors, whose sum is σ = 36995461641216. Its totient is φ = 2484299059200.

The previous prime is 12051164001007. The next prime is 12051164001067. The reversal of 12051164001030 is 3010046115021.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1058692719 + ... + 1058704101.

It is an arithmetic number, because the mean of its divisors is an integer number (96342348024).

Almost surely, 2^{12051164001030} is an apocalyptic number.

12051164001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12051164001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497730820608).

12051164001030 is an abundant number, since it is smaller than the sum of its proper divisors (24944297640186).

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

12051164001030 is a wasteful number, since it uses less digits than its factorization.

12051164001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 12051164001030 in words is "twelve trillion, fifty-one billion, one hundred sixty-four million, one thousand, thirty".