121292008125120 has 1344 divisors, whose sum is σ = 518891001108480. Its totient is φ = 25367932698624.

The previous prime is 121292008125107. The next prime is 121292008125131. The reversal of 121292008125120 is 21521800292121.

121292008125120 is a `hidden beast` number, since 1 + 2 + 129 + 2 + 0 + 0 + 8 + 12 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 20631398341 + ... + 20631404219.

It is an arithmetic number, because the mean of its divisors is an integer number (386079613920).

Almost surely, 2^{121292008125120} is an apocalyptic number.

121292008125120 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 121292008125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445500554240).

121292008125120 is an abundant number, since it is smaller than the sum of its proper divisors (397598992983360).

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

121292008125120 is a wasteful number, since it uses less digits than its factorization.

121292008125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 121292008125120 in words is "one hundred twenty-one trillion, two hundred ninety-two billion, eight million, one hundred twenty-five thousand, one hundred twenty".