220212011110000 has 400 divisors, whose sum is σ = 657750931676608. Its totient is φ = 69527808000000.

The previous prime is 220212011109991. The next prime is 220212011110027. The reversal of 220212011110000 is 11110212022.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×220212011110000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 382822600 + ... + 383397400.

Almost surely, 2^{220212011110000} is an apocalyptic number.

220212011110000 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 220212011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328875465838304).

220212011110000 is an abundant number, since it is smaller than the sum of its proper divisors (437538920566608).

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

220212011110000 is a wasteful number, since it uses less digits than its factorization.

220212011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575270 (or 575249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220212011110000 its reverse (11110212022), we get a palindrome (220223121322022).

The spelling of 220212011110000 in words is "two hundred twenty trillion, two hundred twelve billion, eleven million, one hundred ten thousand".