121279117639680 has 7200 divisors, whose sum is σ = 634967964449280. Its totient is φ = 21327092121600.

The previous prime is 121279117639643. The next prime is 121279117639747. The reversal of 121279117639680 is 86936711972121.

121279117639680 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 79 + 1 + 176 + 396 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3912229601265 + ... + 3912229601295.

Almost surely, 2^{121279117639680} is an apocalyptic number.

121279117639680 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 121279117639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317483982224640).

121279117639680 is an abundant number, since it is smaller than the sum of its proper divisors (513688846809600).

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

121279117639680 is a wasteful number, since it uses less digits than its factorization.

121279117639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 121279117639680 in words is "one hundred twenty-one trillion, two hundred seventy-nine billion, one hundred seventeen million, six hundred thirty-nine thousand, six hundred eighty".