1200111122100 has 144 divisors (see below), whose sum is σ = 3844524934656. Its totient is φ = 286593648000.

The previous prime is 1200111122083. The next prime is 1200111122117. The reversal of 1200111122100 is 12211110021.

It is an interprime number because it is at equal distance from previous prime (1200111122083) and next prime (1200111122117).

It is a super-2 number, since 2×1200111122100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 2492856 + ... + 2935055.

It is an arithmetic number, because the mean of its divisors is an integer number (26698089824).

Almost surely, 2^{1200111122100} is an apocalyptic number.

1200111122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200111122100 is an abundant number, since it is smaller than the sum of its proper divisors (2644413812556).

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

1200111122100 is a wasteful number, since it uses less digits than its factorization.

1200111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428006 (or 5427999 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1200111122100 its reverse (12211110021), we get a palindrome (1212322232121).

The spelling of 1200111122100 in words is "one trillion, two hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".