121755724650 has 576 divisors, whose sum is σ = 408011385600. Its totient is φ = 25400770560.

The previous prime is 121755724621. The next prime is 121755724663. The reversal of 121755724650 is 56427557121.

121755724650 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 557 + 2 + 46 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121755724596 and 121755724605.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 281190834 + ... + 281191266.

It is an arithmetic number, because the mean of its divisors is an integer number (708353100).

Almost surely, 2^121755724650 is an apocalyptic number.

121755724650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121755724650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204005692800).

121755724650 is an abundant number, since it is smaller than the sum of its proper divisors (286255660950).

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

121755724650 is a wasteful number, since it uses less digits than its factorization.

121755724650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 121755724650 in words is "one hundred twenty-one billion, seven hundred fifty-five million, seven hundred twenty-four thousand, six hundred fifty".