10401412120 has 64 divisors (see below), whose sum is σ = 25558999200. Its totient is φ = 3778145280.

The previous prime is 10401412103. The next prime is 10401412129. The reversal of 10401412120 is 2121410401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10401412094 and 10401412103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401412129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399666 + ... + 424894.

Almost surely, 2^10401412120 is an apocalyptic number.

10401412120 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 10401412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12779499600).

10401412120 is an abundant number, since it is smaller than the sum of its proper divisors (15157587080).

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

10401412120 is a wasteful number, since it uses less digits than its factorization.

10401412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26188 (or 26184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10401412120 its reverse (2121410401), we get a palindrome (12522822521).

The spelling of 10401412120 in words is "ten billion, four hundred one million, four hundred twelve thousand, one hundred twenty".