121633240680 has 256 divisors, whose sum is σ = 467468582400. Its totient is φ = 27555655680.

The previous prime is 121633240621. The next prime is 121633240727. The reversal of 121633240680 is 86042336121.

121633240680 is a `hidden beast` number, since 1 + 216 + 3 + 32 + 406 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783090 + ... + 925470.

It is an arithmetic number, because the mean of its divisors is an integer number (1826049150).

Almost surely, 2^121633240680 is an apocalyptic number.

121633240680 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 121633240680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233734291200).

121633240680 is an abundant number, since it is smaller than the sum of its proper divisors (345835341720).

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

121633240680 is a wasteful number, since it uses less digits than its factorization.

121633240680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142521 (or 142511 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 121633240680 in words is "one hundred twenty-one billion, six hundred thirty-three million, two hundred forty thousand, six hundred eighty".