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200012122010120 = 23576466091104731
BaseRepresentation
bin101101011110100011110011…
…011110111011001000001000
3222020011222020200022222100012
4231132203303132323020020
5202203444311213310440
61545220144514131052
760062253560564060
oct5536436336731010
9866158220288305
10200012122010120
1158803734629a32
121a523832b80a88
13877b0a67a2534
1437568d19223a0
15181cb933b0e65
hexb5e8f37bb208

200012122010120 has 64 divisors (see below), whose sum is σ = 514318146134400. Its totient is φ = 68575416560640.

The previous prime is 200012122010089. The next prime is 200012122010177. The reversal of 200012122010120 is 21010221210002.

It is a super-2 number, since 2×2000121220101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 200012122010095 and 200012122010104.

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, 180498155 + ... + 181602885.

It is an arithmetic number, because the mean of its divisors is an integer number (8036221033350).

Almost surely, 2200012122010120 is an apocalyptic number.

200012122010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012122010120 is an abundant number, since it is smaller than the sum of its proper divisors (314306024124280).

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

200012122010120 is a wasteful number, since it uses less digits than its factorization.

200012122010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751358 (or 1751354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200012122010120 its reverse (21010221210002), we get a palindrome (221022343220122).

The spelling of 200012122010120 in words is "two hundred trillion, twelve billion, one hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 646609 1104731 1293218 2209462 2586436 3233045 4418924 4526263 5172872 5523655 6466090 7733117 8837848 9052526 11047310 12932180 15466234 18105052 22094620 22631315 25864360 30932468 36210104 38665585 44189240 45262630 61864936 77331170 90525260 154662340 181050520 309324680 714329007179 1428658014358 2857316028716 3571645035895 5000303050253 5714632057432 7143290071790 10000606100506 14286580143580 20001212201012 25001515251265 28573160287160 40002424402024 50003030502530 100006061005060 200012122010120