121183772320 has 288 divisors, whose sum is σ = 327439324800. Its totient is φ = 42124769280.

The previous prime is 121183772299. The next prime is 121183772329. The reversal of 121183772320 is 23277381121.

It is a super-4 number, since 4×121183772320⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121183772320.

It is not an unprimeable number, because it can be changed into a prime (121183772329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149424715 + ... + 149425525.

It is an arithmetic number, because the mean of its divisors is an integer number (1136942100).

Almost surely, 2^121183772320 is an apocalyptic number.

121183772320 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 121183772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163719662400).

121183772320 is an abundant number, since it is smaller than the sum of its proper divisors (206255552480).

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

121183772320 is a wasteful number, since it uses less digits than its factorization.

121183772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 121183772320 in words is "one hundred twenty-one billion, one hundred eighty-three million, seven hundred seventy-two thousand, three hundred twenty".