121872621024 has 360 divisors, whose sum is σ = 435797434800. Its totient is φ = 31647559680.

The previous prime is 121872620963. The next prime is 121872621037. The reversal of 121872621024 is 420126278121.

121872621024 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 7 + 2 + 621 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121872621024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29514192 + ... + 29518320.

It is an arithmetic number, because the mean of its divisors is an integer number (1210548430).

Almost surely, 2^121872621024 is an apocalyptic number.

121872621024 is a gapful number since it is divisible by the number (14) 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 121872621024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217898717400).

121872621024 is an abundant number, since it is smaller than the sum of its proper divisors (313924813776).

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

121872621024 is an equidigital number, since it uses as much as digits as its factorization.

121872621024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 121872621024 its reverse (420126278121), we get a palindrome (541998899145).

The spelling of 121872621024 in words is "one hundred twenty-one billion, eight hundred seventy-two million, six hundred twenty-one thousand, twenty-four".