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222010122020120 = 235717607733104827
BaseRepresentation
bin110010011110101011000010…
…011101011010010100011000
31002010001221221010022022110022
4302132223002131122110120
5213044403212214120440
62104102013030410012
764522462533523310
oct6236530235322430
91063057833268408
10222010122020120
1164814a670a7755
1220a97070800908
1396b5606b779a5
143cb74c0b78440
151a9eed5864cb5
hexc9eac275a518

222010122020120 has 256 divisors, whose sum is σ = 606292143759360. Its totient is φ = 71423961587712.

The previous prime is 222010122020119. The next prime is 222010122020147. The reversal of 222010122020120 is 21020221010222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2117819147 + ... + 2117923973.

It is an arithmetic number, because the mean of its divisors is an integer number (2368328686560).

Almost surely, 2222010122020120 is an apocalyptic number.

222010122020120 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 222010122020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303146071879680).

222010122020120 is an abundant number, since it is smaller than the sum of its proper divisors (384282021739240).

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

222010122020120 is a wasteful number, since it uses less digits than its factorization.

222010122020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106202 (or 106198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222010122020120 its reverse (21020221010222), we get a palindrome (243030343030342).

The spelling of 222010122020120 in words is "two hundred twenty-two trillion, ten billion, one hundred twenty-two million, twenty thousand, one hundred twenty".