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212002011121120 = 25511120455688137
BaseRepresentation
bin110000001101000010010000…
…100100001000010111100000
31000210122012020122222200220021
4300031002100210020113200
5210241420104321333440
62030520213540523224
762440432316511103
oct6015022044102740
91023565218880807
10212002011121120
1161606603440220
121b93b4b06b0514
13913a91c51aa5c
143a4cd4875473a
1519799d381c84a
hexc0d0909085e0

212002011121120 has 48 divisors (see below), whose sum is σ = 546387001393968. Its totient is φ = 77091640407040.

The previous prime is 212002011121111. The next prime is 212002011121171. The reversal of 212002011121120 is 21121110200212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212002011121094 and 212002011121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60227842309 + ... + 60227845828.

It is an arithmetic number, because the mean of its divisors is an integer number (11383062529041).

Almost surely, 2212002011121120 is an apocalyptic number.

212002011121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002011121120 is an abundant number, since it is smaller than the sum of its proper divisors (334384990272848).

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

212002011121120 is a wasteful number, since it uses less digits than its factorization.

212002011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120455688163 (or 120455688155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212002011121120 its reverse (21121110200212), we get a palindrome (233123121321332).

The spelling of 212002011121120 in words is "two hundred twelve trillion, two billion, eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 120455688137 240911376274 481822752548 602278440685 963645505096 1204556881370 1325012569507 1927291010192 2409113762740 2650025139014 3854582020384 4818227525480 5300050278028 6625062847535 9636455050960 10600100556056 13250125695070 19272910101920 21200201112112 26500251390140 42400402224224 53000502780280 106001005560560 212002011121120