121912197120 has 1024 divisors, whose sum is σ = 515388211200. Its totient is φ = 26754416640.

The previous prime is 121912197109. The next prime is 121912197137. The reversal of 121912197120 is 21791219121.

It is a tau number, because it is divible by the number of its divisors (1024).

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 63 ways as a sum of consecutive naturals, for example, 959938497 + ... + 959938623.

It is an arithmetic number, because the mean of its divisors is an integer number (503308800).

Almost surely, 2^121912197120 is an apocalyptic number.

121912197120 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 121912197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257694105600).

121912197120 is an abundant number, since it is smaller than the sum of its proper divisors (393476014080).

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

121912197120 is an equidigital number, since it uses as much as digits as its factorization.

121912197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 121912197120 in words is "one hundred twenty-one billion, nine hundred twelve million, one hundred ninety-seven thousand, one hundred twenty".