120772823040 has 384 divisors, whose sum is σ = 433579910400. Its totient is φ = 31885885440.

The previous prime is 120772823023. The next prime is 120772823047. The reversal of 120772823040 is 40328277021.

120772823040 is a `hidden beast` number, since 1 + 2 + 0 + 77 + 282 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 120772822986 and 120772823004.

It is not an unprimeable number, because it can be changed into a prime (120772823047) 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, 28475320 + ... + 28479560.

It is an arithmetic number, because the mean of its divisors is an integer number (1129114350).

Almost surely, 2^120772823040 is an apocalyptic number.

120772823040 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 120772823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216789955200).

120772823040 is an abundant number, since it is smaller than the sum of its proper divisors (312807087360).

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

120772823040 is a wasteful number, since it uses less digits than its factorization.

120772823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 120772823040 in words is "one hundred twenty billion, seven hundred seventy-two million, eight hundred twenty-three thousand, forty".