12214265042100 has 288 divisors, whose sum is σ = 39127995648000. Its totient is φ = 2917013299200.

The previous prime is 12214265042041. The next prime is 12214265042107. The reversal of 12214265042100 is 124056241221.

It is a super-2 number, since 2×12214265042100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214265042107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117002127 + ... + 117106473.

It is an arithmetic number, because the mean of its divisors is an integer number (135861096000).

Almost surely, 2^{12214265042100} is an apocalyptic number.

12214265042100 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 12214265042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563997824000).

12214265042100 is an abundant number, since it is smaller than the sum of its proper divisors (26913730605900).

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

12214265042100 is a wasteful number, since it uses less digits than its factorization.

12214265042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104903 (or 104896 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12214265042100 in words is "twelve trillion, two hundred fourteen billion, two hundred sixty-five million, forty-two thousand, one hundred".