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112022000112120 = 233571773910615261
BaseRepresentation
bin11001011110001000100111…
…100001100001000111111000
3112200122012100210111010100120
4121132020213201201013320
5104140332024012041440
61034130110231333240
732411215410061320
oct3136104741410770
9480565323433316
10112022000112120
113276a29972391a
1210692745221220
134a678246c6847
141d93c725a0280
15ce3e38d41dd0
hex65e2278611f8

112022000112120 has 256 divisors, whose sum is σ = 407218434739200. Its totient is φ = 24066238095360.

The previous prime is 112022000112119. The next prime is 112022000112181. The reversal of 112022000112120 is 21211000220211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112022000112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5245290 + ... + 15860550.

It is an arithmetic number, because the mean of its divisors is an integer number (1590697010700).

Almost surely, 2112022000112120 is an apocalyptic number.

112022000112120 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 112022000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203609217369600).

112022000112120 is an abundant number, since it is smaller than the sum of its proper divisors (295196434627080).

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

112022000112120 is a wasteful number, since it uses less digits than its factorization.

112022000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616038 (or 10616034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112022000112120 its reverse (21211000220211), we get a palindrome (133233000332331).

The spelling of 112022000112120 in words is "one hundred twelve trillion, twenty-two billion, one hundred twelve thousand, one hundred twenty".