102412800399 has 128 divisors (see below), whose sum is σ = 174440448000. Its totient is φ = 53100351360.

The previous prime is 102412800389. The next prime is 102412800449. The reversal of 102412800399 is 993008214201.

It is a Cunningham number, because it is equal to 320020²-1.

It is not a de Polignac number, because 102412800399 - 2¹² = 102412796303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102412800349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329301454 + ... + 329301764.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816000).

Almost surely, 2^102412800399 is an apocalyptic number.

102412800399 is a deficient number, since it is larger than the sum of its proper divisors (72027647601).

102412800399 is a wasteful number, since it uses less digits than its factorization.

102412800399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 102412800399 in words is "one hundred two billion, four hundred twelve million, eight hundred thousand, three hundred ninety-nine".