120618274560 has 432 divisors, whose sum is σ = 471717590400. Its totient is φ = 26118070272.

The previous prime is 120618274559. The next prime is 120618274571. The reversal of 120618274560 is 65472816021.

It is a happy number.

It is a super-3 number, since 3×120618274560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558171 + ... + 3591909.

Almost surely, 2^120618274560 is an apocalyptic number.

120618274560 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 120618274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235858795200).

120618274560 is an abundant number, since it is smaller than the sum of its proper divisors (351099315840).

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

120618274560 is a wasteful number, since it uses less digits than its factorization.

120618274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33796 (or 33775 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 120618274560 in words is "one hundred twenty billion, six hundred eighteen million, two hundred seventy-four thousand, five hundred sixty".