2123426289600 has 4032 divisors, whose sum is σ = 10789773696000. Its totient is φ = 393419980800.

The previous prime is 2123426289577. The next prime is 2123426289601. The reversal of 2123426289600 is 69826243212.

2123426289600 is a `hidden beast` number, since 2 + 1 + 2 + 34 + 2 + 6 + 2 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123426289601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 111759278391 + ... + 111759278409.

Almost surely, 2^{2123426289600} is an apocalyptic number.

2123426289600 is a gapful number since it is divisible by the number (20) 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 2123426289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394886848000).

2123426289600 is an abundant number, since it is smaller than the sum of its proper divisors (8666347406400).

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

2123426289600 is a wasteful number, since it uses less digits than its factorization.

2123426289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2123426289600 in words is "two trillion, one hundred twenty-three billion, four hundred twenty-six million, two hundred eighty-nine thousand, six hundred".