121393974240 has 2304 divisors, whose sum is σ = 585838116864. Its totient is φ = 22992076800.

The previous prime is 121393974157. The next prime is 121393974253. The reversal of 121393974240 is 42479393121.

121393974240 is a `hidden beast` number, since 1 + 2 + 13 + 9 + 397 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2823115659 + ... + 2823115701.

It is an arithmetic number, because the mean of its divisors is an integer number (254270016).

Almost surely, 2^121393974240 is an apocalyptic number.

121393974240 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 121393974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292919058432).

121393974240 is an abundant number, since it is smaller than the sum of its proper divisors (464444142624).

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

121393974240 is a wasteful number, since it uses less digits than its factorization.

121393974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 121393974240 in words is "one hundred twenty-one billion, three hundred ninety-three million, nine hundred seventy-four thousand, two hundred forty".