11402420120 has 256 divisors, whose sum is σ = 32510419200. Its totient is φ = 3503554560.

The previous prime is 11402420119. The next prime is 11402420153. The reversal of 11402420120 is 2102420411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19761272 + ... + 19761848.

It is an arithmetic number, because the mean of its divisors is an integer number (126993825).

Almost surely, 2^11402420120 is an apocalyptic number.

11402420120 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 11402420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255209600).

11402420120 is an abundant number, since it is smaller than the sum of its proper divisors (21107999080).

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

11402420120 is a wasteful number, since it uses less digits than its factorization.

11402420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11402420120 its reverse (2102420411), we get a palindrome (13504840531).

The spelling of 11402420120 in words is "eleven billion, four hundred two million, four hundred twenty thousand, one hundred twenty".