12010930550400 has 384 divisors, whose sum is σ = 40021175980800. Its totient is φ = 3165815439360.

The previous prime is 12010930550387. The next prime is 12010930550407. The reversal of 12010930550400 is 405503901021.

12010930550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12010930550407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398106516 + ... + 398136684.

It is an arithmetic number, because the mean of its divisors is an integer number (104221812450).

Almost surely, 2^{12010930550400} is an apocalyptic number.

12010930550400 is a gapful number since it is divisible by the number (10) 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 12010930550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010587990400).

12010930550400 is an abundant number, since it is smaller than the sum of its proper divisors (28010245430400).

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

12010930550400 is a wasteful number, since it uses less digits than its factorization.

12010930550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30676 (or 30659 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 12010930550400 in words is "twelve trillion, ten billion, nine hundred thirty million, five hundred fifty thousand, four hundred".