21121152868404 has 120 divisors (see below), whose sum is σ = 57004579444736. Its totient is φ = 6812248392000.

The previous prime is 21121152868397. The next prime is 21121152868433. The reversal of 21121152868404 is 40486825112112.

21121152868404 is a `hidden beast` number, since 2 + 1 + 1 + 21 + 1 + 528 + 68 + 40 + 4 = 666.

It is a super-2 number, since 2×21121152868404² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21121152868404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67953309 + ... + 68263419.

Almost surely, 2^{21121152868404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121152868404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28502289722368).

21121152868404 is an abundant number, since it is smaller than the sum of its proper divisors (35883426576332).

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

21121152868404 is a wasteful number, since it uses less digits than its factorization.

21121152868404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316939 (or 316928 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 21121152868404 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred fifty-two million, eight hundred sixty-eight thousand, four hundred four".