12212001122100 has 144 divisors (see below), whose sum is σ = 38073786330048. Its totient is φ = 3004258037760.

The previous prime is 12212001122089. The next prime is 12212001122117. The reversal of 12212001122100 is 122110021221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212001122100.

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, 5695707 + ... + 7540893.

Almost surely, 2^{12212001122100} is an apocalyptic number.

12212001122100 is a gapful number since it is divisible by the number (10) 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 12212001122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036893165024).

12212001122100 is an abundant number, since it is smaller than the sum of its proper divisors (25861785207948).

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

12212001122100 is a wasteful number, since it uses less digits than its factorization.

12212001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846914 (or 1846907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212001122100 its reverse (122110021221), we get a palindrome (12334111143321).

The spelling of 12212001122100 in words is "twelve trillion, two hundred twelve billion, one million, one hundred twenty-two thousand, one hundred".