121752633640 has 128 divisors (see below), whose sum is σ = 312128899200. Its totient is φ = 42346644480.

The previous prime is 121752633601. The next prime is 121752633643. The reversal of 121752633640 is 46336257121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 121752633593 and 121752633602.

It is not an unprimeable number, because it can be changed into a prime (121752633643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897142 + ... + 1023898.

It is an arithmetic number, because the mean of its divisors is an integer number (2438507025).

Almost surely, 2^121752633640 is an apocalyptic number.

121752633640 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 121752633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156064449600).

121752633640 is an abundant number, since it is smaller than the sum of its proper divisors (190376265560).

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

121752633640 is a wasteful number, since it uses less digits than its factorization.

121752633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126875 (or 126871 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 121752633640 in words is "one hundred twenty-one billion, seven hundred fifty-two million, six hundred thirty-three thousand, six hundred forty".