121183893942720 has 448 divisors, whose sum is σ = 456213335187456. Its totient is φ = 26669575618560.

The previous prime is 121183893942649. The next prime is 121183893942823. The reversal of 121183893942720 is 27249398381121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×121183893942720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 39562594 + ... + 42515486.

It is an arithmetic number, because the mean of its divisors is an integer number (1018333337472).

Almost surely, 2^{121183893942720} is an apocalyptic number.

121183893942720 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 121183893942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228106667593728).

121183893942720 is an abundant number, since it is smaller than the sum of its proper divisors (335029441244736).

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

121183893942720 is a wasteful number, since it uses less digits than its factorization.

121183893942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953148 (or 2953138 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 121183893942720 in words is "one hundred twenty-one trillion, one hundred eighty-three billion, eight hundred ninety-three million, nine hundred forty-two thousand, seven hundred twenty".