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222221012000120 = 235722341011120199
BaseRepresentation
bin110010100001101111011100…
…011110110101110101111000
31002010211010021102000022010022
4302201233130132311311320
5213111332113033000440
62104342531254510012
764543636560006200
oct6241573436656570
91063733242008108
10222221012000120
1164896446a91021
1220b0bb07365308
1396cc47537ccc3
143cc37a928b400
151aa5729d94cb5
hexca1bdc7b5d78

222221012000120 has 192 divisors, whose sum is σ = 606937572288000. Its totient is φ = 72875066584320.

The previous prime is 222221012000011. The next prime is 222221012000123. The reversal of 222221012000120 is 21000210122222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221012000123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848715781 + ... + 1848835979.

It is an arithmetic number, because the mean of its divisors is an integer number (3161133189000).

Almost surely, 2222221012000120 is an apocalyptic number.

222221012000120 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 222221012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303468786144000).

222221012000120 is an abundant number, since it is smaller than the sum of its proper divisors (384716560287880).

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

222221012000120 is a wasteful number, since it uses less digits than its factorization.

222221012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161258 (or 161247 counting only the distinct ones).

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

Adding to 222221012000120 its reverse (21000210122222), we get a palindrome (243221222122342).

The spelling of 222221012000120 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred twenty", and thus it is an aban number.