120204635040 has 1344 divisors, whose sum is σ = 524500655616. Its totient is φ = 25422667776.

The previous prime is 120204635029. The next prime is 120204635071. The reversal of 120204635040 is 40536402021.

120204635040 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 4 + 635 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120204634995 and 120204635013.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 694824394 + ... + 694824566.

It is an arithmetic number, because the mean of its divisors is an integer number (390253464).

Almost surely, 2^120204635040 is an apocalyptic number.

120204635040 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 120204635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262250327808).

120204635040 is an abundant number, since it is smaller than the sum of its proper divisors (404296020576).

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

120204635040 is a wasteful number, since it uses less digits than its factorization.

120204635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 120204635040 in words is "one hundred twenty billion, two hundred four million, six hundred thirty-five thousand, forty".