121330735920 has 400 divisors, whose sum is σ = 437889339360. Its totient is φ = 31227420672.

The previous prime is 121330735907. The next prime is 121330735991. The reversal of 121330735920 is 29537033121.

It is a happy number.

It is a super-2 number, since 2×121330735920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45663232 + ... + 45665888.

Almost surely, 2^121330735920 is an apocalyptic number.

121330735920 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 121330735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218944669680).

121330735920 is an abundant number, since it is smaller than the sum of its proper divisors (316558603440).

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

121330735920 is an frugal number, since it uses more digits than its factorization.

121330735920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 121330735920 in words is "one hundred twenty-one billion, three hundred thirty million, seven hundred thirty-five thousand, nine hundred twenty".