401301120 has 128 divisors (see below), whose sum is σ = 1395506880. Its totient is φ = 97280000.

The previous prime is 401301097. The next prime is 401301139. The reversal of 401301120 is 21103104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401301120² = 322085177826508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 401301096 and 401301105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11620 + ... + 30620.

Almost surely, 2^401301120 is an apocalyptic number.

401301120 is a gapful number since it is divisible by the number (40) 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 401301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697753440).

401301120 is an abundant number, since it is smaller than the sum of its proper divisors (994205760).

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

401301120 is a wasteful number, since it uses less digits than its factorization.

401301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19034 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 401301120 is about 20032.5015911643. The cubic root of 401301120 is about 737.6043295859.

Adding to 401301120 its reverse (21103104), we get a palindrome (422404224).

The spelling of 401301120 in words is "four hundred one million, three hundred one thousand, one hundred twenty".