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122112221112 = 2333780762051
BaseRepresentation
bin111000110111001110…
…1001001111110111000
3102200012012200120011000
41301232131021332320
54000041212033422
6132033024405000
711552024516310
oct1615635117670
9380165616130
10122112221112
1147873190102
121b7bb176760
13b690993a4b
145ca5a94440
15329a633cac
hex1c6e749fb8

122112221112 has 64 divisors (see below), whose sum is σ = 387657849600. Its totient is φ = 34889205600.

The previous prime is 122112221087. The next prime is 122112221129. The reversal of 122112221112 is 211122211221.

It is a super-2 number, since 2×1221122211122 (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40379514 + ... + 40382537.

It is an arithmetic number, because the mean of its divisors is an integer number (6057153900).

Almost surely, 2122112221112 is an apocalyptic number.

122112221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112221112 is an abundant number, since it is smaller than the sum of its proper divisors (265545628488).

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

122112221112 is a wasteful number, since it uses less digits than its factorization.

122112221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80762073 (or 80762063 counting only the distinct ones).

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

Adding to 122112221112 its reverse (211122211221), we get a palindrome (333234432333).

The spelling of 122112221112 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 80762051 161524102 242286153 323048204 484572306 565334357 646096408 726858459 969144612 1130668714 1453716918 1696003071 1938289224 2180575377 2261337428 2907433836 3392006142 4361150754 4522674856 5088009213 5814867672 6784012284 8722301508 10176018426 13568024568 15264027639 17444603016 20352036852 30528055278 40704073704 61056110556 122112221112