121535313100000 has 72 divisors (see below), whose sum is σ = 299071668016296. Its totient is φ = 48614125200000.

The previous prime is 121535313099961. The next prime is 121535313100001. The reversal of 121535313100000 is 1313535121.

It is a super-2 number, since 2×121535313100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121535313100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607576566 + ... + 607776565.

It is an arithmetic number, because the mean of its divisors is an integer number (4153773166893).

Almost surely, 2^{121535313100000} is an apocalyptic number.

121535313100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121535313100000 is an abundant number, since it is smaller than the sum of its proper divisors (177536354916296).

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

121535313100000 is an frugal number, since it uses more digits than its factorization.

121535313100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215353166 (or 1215353138 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 121535313100000 its reverse (1313535121), we get a palindrome (121536626635121).

The spelling of 121535313100000 in words is "one hundred twenty-one trillion, five hundred thirty-five billion, three hundred thirteen million, one hundred thousand".