121840148769120 has 1440 divisors, whose sum is σ = 456010256671200. Its totient is φ = 30612487127040.

The previous prime is 121840148769103. The next prime is 121840148769139. The reversal of 121840148769120 is 21967841048121.

It is a happy number.

121840148769120 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 401 + 48 + 76 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 116148854356 + ... + 116148855404.

It is an arithmetic number, because the mean of its divisors is an integer number (316673789355).

Almost surely, 2^{121840148769120} is an apocalyptic number.

121840148769120 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 121840148769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228005128335600).

121840148769120 is an abundant number, since it is smaller than the sum of its proper divisors (334170107902080).

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

121840148769120 is a wasteful number, since it uses less digits than its factorization.

121840148769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 121840148769120 in words is "one hundred twenty-one trillion, eight hundred forty billion, one hundred forty-eight million, seven hundred sixty-nine thousand, one hundred twenty".