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210122012112120 = 23325583672255867
BaseRepresentation
bin101111110001101011010111…
…111001000011010011111000
31000112222110122022011210211100
4233301223113321003103320
5210020114340100041440
62022520415245331400
762154546224553453
oct5761532771032370
91015873568153740
10210122012112120
1160a51276a71069
121b697078866b60
139032561429b44
1439c5d613c849a
151945b5093e230
hexbf1ad7e434f8

210122012112120 has 48 divisors (see below), whose sum is σ = 682896539365560. Its totient is φ = 56032536563136.

The previous prime is 210122012112053. The next prime is 210122012112149. The reversal of 210122012112120 is 21211210221012.

210122012112120 is a `hidden beast` number, since 21 + 0 + 1 + 220 + 1 + 211 + 212 + 0 = 666.

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 = 210122012112093 and 210122012112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291836127574 + ... + 291836128293.

Almost surely, 2210122012112120 is an apocalyptic number.

210122012112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122012112120 is an abundant number, since it is smaller than the sum of its proper divisors (472774527253440).

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

210122012112120 is a wasteful number, since it uses less digits than its factorization.

210122012112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583672255884 (or 583672255877 counting only the distinct ones).

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

Adding to 210122012112120 its reverse (21211210221012), we get a palindrome (231333222333132).

The spelling of 210122012112120 in words is "two hundred ten trillion, one hundred twenty-two billion, twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 583672255867 1167344511734 1751016767601 2334689023468 2918361279335 3502033535202 4669378046936 5253050302803 5836722558670 7004067070404 8755083838005 10506100605606 11673445117340 14008134140808 17510167676010 21012201211212 23346890234680 26265251514015 35020335352020 42024402422424 52530503028030 70040670704040 105061006056060 210122012112120