120900781440 has 768 divisors, whose sum is σ = 449902252800. Its totient is φ = 31004467200.

The previous prime is 120900781409. The next prime is 120900781451. The reversal of 120900781440 is 44187009021.

120900781440 is a `hidden beast` number, since 1 + 209 + 0 + 0 + 7 + 8 + 1 + 440 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 120900781395 and 120900781404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675423271 + ... + 675423449.

It is an arithmetic number, because the mean of its divisors is an integer number (585810225).

Almost surely, 2^120900781440 is an apocalyptic number.

120900781440 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 120900781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224951126400).

120900781440 is an abundant number, since it is smaller than the sum of its proper divisors (329001471360).

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

120900781440 is a wasteful number, since it uses less digits than its factorization.

120900781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 120900781440 in words is "one hundred twenty billion, nine hundred million, seven hundred eighty-one thousand, four hundred forty".