121770138240 has 768 divisors, whose sum is σ = 452842790400. Its totient is φ = 31248322560.

The previous prime is 121770138221. The next prime is 121770138263. The reversal of 121770138240 is 42831077121.

121770138240 is a `hidden beast` number, since 1 + 217 + 70 + 138 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121770138195 and 121770138204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 876044091 + ... + 876044229.

It is an arithmetic number, because the mean of its divisors is an integer number (589639050).

Almost surely, 2^121770138240 is an apocalyptic number.

121770138240 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 121770138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226421395200).

121770138240 is an abundant number, since it is smaller than the sum of its proper divisors (331072652160).

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

121770138240 is a wasteful number, since it uses less digits than its factorization.

121770138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 121770138240 in words is "one hundred twenty-one billion, seven hundred seventy million, one hundred thirty-eight thousand, two hundred forty".