1234312001100 has 144 divisors (see below), whose sum is σ = 4201501399200. Its totient is φ = 309788098560.

The previous prime is 1234312001099. The next prime is 1234312001123. The reversal of 1234312001100 is 11002134321.

1234312001100 is a `hidden beast` number, since 1 + 23 + 431 + 200 + 1 + 10 + 0 = 666.

It is a super-2 number, since 2×1234312001100² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13399765 + ... + 13491564.

It is an arithmetic number, because the mean of its divisors is an integer number (29177093050).

Almost surely, 2^{1234312001100} is an apocalyptic number.

1234312001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234312001100 is an abundant number, since it is smaller than the sum of its proper divisors (2967189398100).

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

1234312001100 is a wasteful number, since it uses less digits than its factorization.

1234312001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26891369 (or 26891356 counting only the distinct ones).

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

Adding to 1234312001100 its reverse (11002134321), we get a palindrome (1245314135421).

The spelling of 1234312001100 in words is "one trillion, two hundred thirty-four billion, three hundred twelve million, one thousand, one hundred".