12401105310 has 96 divisors (see below), whose sum is σ = 35212589568. Its totient is φ = 3003034560.

The previous prime is 12401105291. The next prime is 12401105347. The reversal of 12401105310 is 1350110421.

12401105310 is a `hidden beast` number, since 1 + 24 + 0 + 110 + 531 + 0 = 666.

It is a super-2 number, since 2×12401105310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966799 + ... + 979541.

It is an arithmetic number, because the mean of its divisors is an integer number (366797808).

Almost surely, 2^12401105310 is an apocalyptic number.

12401105310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401105310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606294784).

12401105310 is an abundant number, since it is smaller than the sum of its proper divisors (22811484258).

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

12401105310 is a wasteful number, since it uses less digits than its factorization.

12401105310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 13747 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12401105310 its reverse (1350110421), we get a palindrome (13751215731).

It can be divided in two parts, 12401 and 105310, that added together give a palindrome (117711).

The spelling of 12401105310 in words is "twelve billion, four hundred one million, one hundred five thousand, three hundred ten".