1102320210312 has 128 divisors (see below), whose sum is σ = 3138782400000. Its totient is φ = 358284423168.

The previous prime is 1102320210311. The next prime is 1102320210319. The reversal of 1102320210312 is 2130120232011.

1102320210312 is a `hidden beast` number, since 1 + 10 + 2 + 320 + 21 + 0 + 312 = 666.

It is a super-2 number, since 2×1102320210312² (a number of 25 digits) contains 22 as substring.

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 (1102320210311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2529064 + ... + 2932712.

It is an arithmetic number, because the mean of its divisors is an integer number (24521737500).

Almost surely, 2^{1102320210312} is an apocalyptic number.

1102320210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102320210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569391200000).

1102320210312 is an abundant number, since it is smaller than the sum of its proper divisors (2036462189688).

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

1102320210312 is a wasteful number, since it uses less digits than its factorization.

1102320210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403980 (or 403970 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1102320210312 its reverse (2130120232011), we get a palindrome (3232440442323).

The spelling of 1102320210312 in words is "one trillion, one hundred two billion, three hundred twenty million, two hundred ten thousand, three hundred twelve".