121202112000000 has 1456 divisors, whose sum is σ = 434567942459136. Its totient is φ = 29933568000000.

The previous prime is 121202111999939. The next prime is 121202112000019. The reversal of 121202112000000 is 211202121.

121202112000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 121202112000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 231743999739 + ... + 231744000261.

Almost surely, 2^{121202112000000} is an apocalyptic number.

121202112000000 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 121202112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217283971229568).

121202112000000 is an abundant number, since it is smaller than the sum of its proper divisors (313365830459136).

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

121202112000000 is an frugal number, since it uses more digits than its factorization.

121202112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121202112000000 its reverse (211202121), we get a palindrome (121202323202121).

The spelling of 121202112000000 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred twelve million", and thus it is an aban number.