121115212400 has 240 divisors, whose sum is σ = 373701748224. Its totient is φ = 36664151040.

The previous prime is 121115212367. The next prime is 121115212483. The reversal of 121115212400 is 4212511121.

It is a super-2 number, since 2×121115212400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764867 + ... + 909533.

Almost surely, 2^121115212400 is an apocalyptic number.

121115212400 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 121115212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186850874112).

121115212400 is an abundant number, since it is smaller than the sum of its proper divisors (252586535824).

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

121115212400 is a wasteful number, since it uses less digits than its factorization.

121115212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144728 (or 144717 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 121115212400 its reverse (4212511121), we get a palindrome (125327723521).

The spelling of 121115212400 in words is "one hundred twenty-one billion, one hundred fifteen million, two hundred twelve thousand, four hundred".