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210122012000 = 255359987697
BaseRepresentation
bin1100001110110000111…
…1110111010101100000
3202002100202122011121202
43003230033313111200
511420312213341000
6240310111540332
721116006430035
oct3035417672540
9662322564552
10210122012000
118112644167a
123488152a6a8
1316a783892a4
14a25452538c
1556ebdd3dd5
hex30ec3f7560

210122012000 has 96 divisors (see below), whose sum is σ = 517137566400. Its totient is φ = 83907532800.

The previous prime is 210122011991. The next prime is 210122012003. The reversal of 210122012000 is 210221012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352152 + ... + 2439848.

It is an arithmetic number, because the mean of its divisors is an integer number (5386849650).

Almost surely, 2210122012000 is an apocalyptic number.

210122012000 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 210122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258568783200).

210122012000 is an abundant number, since it is smaller than the sum of its proper divisors (307015554400).

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

210122012000 is an equidigital number, since it uses as much as digits as its factorization.

210122012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88321 (or 88303 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210122012000 its reverse (210221012), we get a palindrome (210332233012).

The spelling of 210122012000 in words is "two hundred ten billion, one hundred twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 599 800 1000 1198 2000 2396 2995 4000 4792 5990 9584 11980 14975 19168 23960 29950 47920 59900 74875 87697 95840 119800 149750 175394 239600 299500 350788 438485 479200 599000 701576 876970 1198000 1403152 1753940 2192425 2396000 2806304 3507880 4384850 7015760 8769700 10962125 14031520 17539400 21924250 35078800 43848500 52530503 70157600 87697000 105061006 175394000 210122012 262652515 350788000 420244024 525305030 840488048 1050610060 1313262575 1680976096 2101220120 2626525150 4202440240 5253050300 6566312875 8404880480 10506100600 13132625750 21012201200 26265251500 42024402400 52530503000 105061006000 210122012000