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22221110112120 = 233252917977118399
BaseRepresentation
bin1010000110101110000010…
…10111111110111101111000
32220200022120100222211220200
411003113001113332331320
510403032313142041440
6115132123112122200
74452264552331233
oct503270127767570
986608510884820
1022221110112120
117097a1339a777
1225aa724996360
13c5259852347a
1456b7166c641a
1528804e735c30
hex1435c15fef78

22221110112120 has 192 divisors, whose sum is σ = 74713691520000. Its totient is φ = 5720930740224.

The previous prime is 22221110112001. The next prime is 22221110112163. The reversal of 22221110112120 is 2121101112222.

22221110112120 is a `hidden beast` number, since 222 + 211 + 1 + 0 + 112 + 120 = 666.

It is a super-2 number, since 2×222211101121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22221110112093 and 22221110112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187620681 + ... + 187739079.

It is an arithmetic number, because the mean of its divisors is an integer number (389133810000).

Almost surely, 222221110112120 is an apocalyptic number.

22221110112120 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 22221110112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37356845760000).

22221110112120 is an abundant number, since it is smaller than the sum of its proper divisors (52492581407880).

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

22221110112120 is a wasteful number, since it uses less digits than its factorization.

22221110112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136422 (or 136415 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22221110112120 its reverse (2121101112222), we get a palindrome (24342211224342).

The spelling of 22221110112120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".