114322821120 has 832 divisors, whose sum is σ = 433113868800. Its totient is φ = 28547481600.

The previous prime is 114322821113. The next prime is 114322821169. The reversal of 114322821120 is 21128223411.

It is a happy number.

114322821120 is a `hidden beast` number, since 11 + 432 + 2 + 8 + 211 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1131909070 + ... + 1131909170.

Almost surely, 2^114322821120 is an apocalyptic number.

114322821120 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 114322821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216556934400).

114322821120 is an abundant number, since it is smaller than the sum of its proper divisors (318791047680).

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

114322821120 is a wasteful number, since it uses less digits than its factorization.

114322821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 114322821120 in words is "one hundred fourteen billion, three hundred twenty-two million, eight hundred twenty-one thousand, one hundred twenty".