1312000102224 has 120 divisors (see below), whose sum is σ = 4285601299200. Its totient is φ = 366881474304.

The previous prime is 1312000102223. The next prime is 1312000102229. The reversal of 1312000102224 is 4222010002131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312000102197 and 1312000102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312000102223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13799299 + ... + 13894050.

It is an arithmetic number, because the mean of its divisors is an integer number (35713344160).

Almost surely, 2^{1312000102224} is an apocalyptic number.

1312000102224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1312000102224 is an abundant number, since it is smaller than the sum of its proper divisors (2973601196976).

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

1312000102224 is a wasteful number, since it uses less digits than its factorization.

1312000102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27693417 (or 27693408 counting only the distinct ones).

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

Adding to 1312000102224 its reverse (4222010002131), we get a palindrome (5534010104355).

The spelling of 1312000102224 in words is "one trillion, three hundred twelve billion, one hundred two thousand, two hundred twenty-four".