2121252387408 has 480 divisors, whose sum is σ = 7700499136512. Its totient is φ = 528991948800.

The previous prime is 2121252387337. The next prime is 2121252387413. The reversal of 2121252387408 is 8047832521212.

2121252387408 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 5 + 238 + 7 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43629160 + ... + 43677752.

Almost surely, 2^{2121252387408} is an apocalyptic number.

2121252387408 is a gapful number since it is divisible by the number (28) 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 2121252387408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850249568256).

2121252387408 is an abundant number, since it is smaller than the sum of its proper divisors (5579246749104).

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

2121252387408 is a wasteful number, since it uses less digits than its factorization.

2121252387408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48783 (or 48774 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2121252387408 in words is "two trillion, one hundred twenty-one billion, two hundred fifty-two million, three hundred eighty-seven thousand, four hundred eight".