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212112010012000 = 255377575428929
BaseRepresentation
bin110000001110101000101101…
…000000100110010101100000
31000211000201011200022022211211
4300032220231000212111200
5210300220344030341000
62031042525010515504
762451405225612010
oct6016505500462540
91024021150268754
10212112010012000
116164921a9a2aaa
121b95888ab95b94
1391480cc719b77
143a543c1729c40
15197c7c07967ba
hexc0ea2d026560

212112010012000 has 96 divisors (see below), whose sum is σ = 595610524192320. Its totient is φ = 72724117708800.

The previous prime is 212112010011983. The next prime is 212112010012081. The reversal of 212112010012000 is 210010211212.

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, 3787686465 + ... + 3787742464.

It is an arithmetic number, because the mean of its divisors is an integer number (6204276293670).

Almost surely, 2212112010012000 is an apocalyptic number.

212112010012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112010012000 is an abundant number, since it is smaller than the sum of its proper divisors (383498514180320).

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

212112010012000 is an equidigital number, since it uses as much as digits as its factorization.

212112010012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575428961 (or 7575428943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212112010012000 its reverse (210010211212), we get a palindrome (212322020223212).

The spelling of 212112010012000 in words is "two hundred twelve trillion, one hundred twelve billion, ten million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 7575428929 15150857858 30301715716 37877144645 53028002503 60603431432 75754289290 106056005006 121206862864 151508578580 189385723225 212112010012 242413725728 265140012515 303017157160 378771446450 424224020024 530280025030 606034314320 757542892900 848448040048 946928616125 1060560050060 1212068628640 1325700062575 1515085785800 1696896080096 1893857232250 2121120100120 2651400125150 3030171571600 3787714464500 4242240200240 5302800250300 6060343143200 6628500312875 7575428929000 8484480400480 10605600500600 13257000625750 15150857858000 21211201001200 26514001251500 30301715716000 42422402002400 53028002503000 106056005006000 212112010012000