121328985697920 has 4608 divisors, whose sum is σ = 603527913031680. Its totient is φ = 22493417472000.

The previous prime is 121328985697919. The next prime is 121328985697939. The reversal of 121328985697920 is 29796589823121.

121328985697920 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 8 + 9 + 8 + 569 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 149604174315 + ... + 149604175125.

It is an arithmetic number, because the mean of its divisors is an integer number (130973939460).

Almost surely, 2^{121328985697920} is an apocalyptic number.

121328985697920 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 121328985697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301763956515840).

121328985697920 is an abundant number, since it is smaller than the sum of its proper divisors (482198927333760).

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

121328985697920 is a wasteful number, since it uses less digits than its factorization.

121328985697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 121328985697920 in words is "one hundred twenty-one trillion, three hundred twenty-eight billion, nine hundred eighty-five million, six hundred ninety-seven thousand, nine hundred twenty".