11102400012 has 72 divisors (see below), whose sum is σ = 29712872448. Its totient is φ = 3218077280.

The previous prime is 11102399969. The next prime is 11102400041. The reversal of 11102400012 is 21000420111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132828 + ... + 199619.

It is an arithmetic number, because the mean of its divisors is an integer number (412678784).

Almost surely, 2^11102400012 is an apocalyptic number.

11102400012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102400012 is an abundant number, since it is smaller than the sum of its proper divisors (18610472436).

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

11102400012 is a wasteful number, since it uses less digits than its factorization.

11102400012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332499 (or 332486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102400012 its reverse (21000420111), we get a palindrome (32102820123).

It can be divided in two parts, 11102 and 400012, that added together give a palindrome (411114).

The spelling of 11102400012 in words is "eleven billion, one hundred two million, four hundred thousand, twelve".