10302400334112 has 24 divisors (see below), whose sum is σ = 27043800877296. Its totient is φ = 3434133444672.

The previous prime is 10302400334111. The next prime is 10302400334117. The reversal of 10302400334112 is 21143300420301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10302400334112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10302400334111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53658334978 + ... + 53658335169.

It is an arithmetic number, because the mean of its divisors is an integer number (1126825036554).

Almost surely, 2^{10302400334112} is an apocalyptic number.

10302400334112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10302400334112 is an abundant number, since it is smaller than the sum of its proper divisors (16741400543184).

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

10302400334112 is a wasteful number, since it uses less digits than its factorization.

10302400334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107316670160 (or 107316670152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10302400334112 its reverse (21143300420301), we get a palindrome (31445700754413).

The spelling of 10302400334112 in words is "ten trillion, three hundred two billion, four hundred million, three hundred thirty-four thousand, one hundred twelve".