121788213120 has 256 divisors, whose sum is σ = 492952780800. Its totient is φ = 27837278208.

The previous prime is 121788213103. The next prime is 121788213167. The reversal of 121788213120 is 21312887121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382464 + ... + 624383.

It is an arithmetic number, because the mean of its divisors is an integer number (1925596800).

Almost surely, 2^121788213120 is an apocalyptic number.

121788213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121788213120 is an abundant number, since it is smaller than the sum of its proper divisors (371164567680).

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

121788213120 is a wasteful number, since it uses less digits than its factorization.

121788213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006882 (or 1006864 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 121788213120 in words is "one hundred twenty-one billion, seven hundred eighty-eight million, two hundred thirteen thousand, one hundred twenty".