121937770658880 has 1008 divisors, whose sum is σ = 480084732691200. Its totient is φ = 28170038476800.

The previous prime is 121937770658827. The next prime is 121937770658923. The reversal of 121937770658880 is 88856077739121.

It is a happy number.

121937770658880 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 37 + 7 + 7 + 0 + 6 + 588 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 121937770658799 and 121937770658808.

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, 4541599696 + ... + 4541626544.

It is an arithmetic number, because the mean of its divisors is an integer number (476274536400).

Almost surely, 2^{121937770658880} is an apocalyptic number.

121937770658880 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 121937770658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240042366345600).

121937770658880 is an abundant number, since it is smaller than the sum of its proper divisors (358146962032320).

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

121937770658880 is a wasteful number, since it uses less digits than its factorization.

121937770658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27200 (or 27164 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 121937770658880 in words is "one hundred twenty-one trillion, nine hundred thirty-seven billion, seven hundred seventy million, six hundred fifty-eight thousand, eight hundred eighty".