12100402314 has 288 divisors, whose sum is σ = 36085585536. Its totient is φ = 2880541440.

The previous prime is 12100402297. The next prime is 12100402319. The reversal of 12100402314 is 41320400121.

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

It is not an unprimeable number, because it can be changed into a prime (12100402319) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24846579 + ... + 24847065.

It is an arithmetic number, because the mean of its divisors is an integer number (125297172).

Almost surely, 2^12100402314 is an apocalyptic number.

12100402314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100402314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042792768).

12100402314 is an abundant number, since it is smaller than the sum of its proper divisors (23985183222).

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

12100402314 is a wasteful number, since it uses less digits than its factorization.

12100402314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12100402314 its reverse (41320400121), we get a palindrome (53420802435).

It can be divided in two parts, 12100 and 402314, that added together give a palindrome (414414).

The spelling of 12100402314 in words is "twelve billion, one hundred million, four hundred two thousand, three hundred fourteen".