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112222209120 = 25357241138587
BaseRepresentation
bin110100010000011110…
…1110000010001100000
3101201122221212220012120
41220200331300101200
53314312341142440
6123315411224240
711051654016150
oct1504075602140
9351587786176
10112222209120
114365856977a
12198baba8080
13a775a06348
1456083a2760
152dbc24edd0
hex1a20f70460

112222209120 has 192 divisors, whose sum is σ = 405679228416. Its totient is φ = 25544171520.

The previous prime is 112222209037. The next prime is 112222209139. The reversal of 112222209120 is 21902222211.

It is a super-2 number, since 2×1122222091202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740467 + ... + 879053.

It is an arithmetic number, because the mean of its divisors is an integer number (2112912648).

Almost surely, 2112222209120 is an apocalyptic number.

112222209120 is a gapful number since it is divisible by the number (10) 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 112222209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202839614208).

112222209120 is an abundant number, since it is smaller than the sum of its proper divisors (293457019296).

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

112222209120 is a wasteful number, since it uses less digits than its factorization.

112222209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138853 (or 138845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 112222209120 in words is "one hundred twelve billion, two hundred twenty-two million, two hundred nine thousand, one hundred twenty".