121076813672640 has 1008 divisors, whose sum is σ = 496723294080000. Its totient is φ = 27534966294528.

The previous prime is 121076813672627. The next prime is 121076813672677. The reversal of 121076813672640 is 46276318670121.

121076813672640 is a `hidden beast` number, since 1 + 2 + 10 + 7 + 6 + 8 + 1 + 367 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2924610661 + ... + 2924652059.

Almost surely, 2^{121076813672640} is an apocalyptic number.

121076813672640 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 121076813672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248361647040000).

121076813672640 is an abundant number, since it is smaller than the sum of its proper divisors (375646480407360).

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

121076813672640 is an frugal number, since it uses more digits than its factorization.

121076813672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41646 (or 41615 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 121076813672640 in words is "one hundred twenty-one trillion, seventy-six billion, eight hundred thirteen million, six hundred seventy-two thousand, six hundred forty".