220011120102000 has 480 divisors, whose sum is σ = 742153075163136. Its totient is φ = 56069090880000.

The previous prime is 220011120101959. The next prime is 220011120102079. The reversal of 220011120102000 is 201021110022.

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 95 ways as a sum of consecutive naturals, for example, 3653243889 + ... + 3653304111.

Almost surely, 2^{220011120102000} is an apocalyptic number.

220011120102000 is a gapful number since it is divisible by the number (20) 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 220011120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371076537581568).

220011120102000 is an abundant number, since it is smaller than the sum of its proper divisors (522141955061136).

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

220011120102000 is a wasteful number, since it uses less digits than its factorization.

220011120102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61446 (or 61407 counting only the distinct ones).

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

Adding to 220011120102000 its reverse (201021110022), we get a palindrome (220212141212022).

The spelling of 220011120102000 in words is "two hundred twenty trillion, eleven billion, one hundred twenty million, one hundred two thousand".