121952283750 has 960 divisors, whose sum is σ = 420012552960. Its totient is φ = 26127360000.

The previous prime is 121952283737. The next prime is 121952283751. The reversal of 121952283750 is 57382259121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121952283696 and 121952283705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121952283751) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1079223694 + ... + 1079223806.

It is an arithmetic number, because the mean of its divisors is an integer number (437513076).

Almost surely, 2^121952283750 is an apocalyptic number.

121952283750 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 121952283750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210006276480).

121952283750 is an abundant number, since it is smaller than the sum of its proper divisors (298060269210).

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

121952283750 is a wasteful number, since it uses less digits than its factorization.

121952283750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 121952283750 in words is "one hundred twenty-one billion, nine hundred fifty-two million, two hundred eighty-three thousand, seven hundred fifty".