120883302144 has 216 divisors, whose sum is σ = 388315130112. Its totient is φ = 35851560960.

The previous prime is 120883302017. The next prime is 120883302161. The reversal of 120883302144 is 441203388021.

It is a happy number.

120883302144 is a `hidden beast` number, since 1 + 208 + 8 + 3 + 302 + 144 = 666.

It is a super-2 number, since 2×120883302144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120883302099 and 120883302108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140427 + ... + 1241909.

It is an arithmetic number, because the mean of its divisors is an integer number (1797755232).

Almost surely, 2^120883302144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120883302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194157565056).

120883302144 is an abundant number, since it is smaller than the sum of its proper divisors (267431827968).

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

120883302144 is a wasteful number, since it uses less digits than its factorization.

120883302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101563 (or 101546 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 120883302144 in words is "one hundred twenty billion, eight hundred eighty-three million, three hundred two thousand, one hundred forty-four".