120416505240 has 128 divisors (see below), whose sum is σ = 366187392000. Its totient is φ = 31672962048.

The previous prime is 120416505233. The next prime is 120416505247. The reversal of 120416505240 is 42505614021.

It is an interprime number because it is at equal distance from previous prime (120416505233) and next prime (120416505247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120416505198 and 120416505207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120416505247) 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, 10393771 + ... + 10405349.

It is an arithmetic number, because the mean of its divisors is an integer number (2860839000).

Almost surely, 2^120416505240 is an apocalyptic number.

120416505240 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 120416505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183093696000).

120416505240 is an abundant number, since it is smaller than the sum of its proper divisors (245770886760).

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

120416505240 is a wasteful number, since it uses less digits than its factorization.

120416505240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 120416505240 in words is "one hundred twenty billion, four hundred sixteen million, five hundred five thousand, two hundred forty".