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212123211233000 = 2353212123211233
BaseRepresentation
bin110000001110110011001000…
…101001110111011011101000
31000211001210002022101022101212
4300032303020221313123220
5210300411314033424000
62031052020303532252
762452252630456004
oct6016631051673350
91024053068338355
10212123211233000
1161652a48778141
121b95aa962ba088
1391491962384a2
143a54b65219704
15197cc28d31c35
hexc0ecc8a776e8

212123211233000 has 32 divisors (see below), whose sum is σ = 496368314287560. Its totient is φ = 84849284492800.

The previous prime is 212123211232979. The next prime is 212123211233071. The reversal of 212123211233000 is 332112321212.

212123211233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 136574328996004 + 75548882236996 = 11686502^2 + 8691886^2 .

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, 106061604617 + ... + 106061606616.

Almost surely, 2212123211233000 is an apocalyptic number.

212123211233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123211233000 is an abundant number, since it is smaller than the sum of its proper divisors (284245103054560).

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

212123211233000 is a wasteful number, since it uses less digits than its factorization.

212123211233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212123211254 (or 212123211240 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 212123211233000 its reverse (332112321212), we get a palindrome (212455323554212).

The spelling of 212123211233000 in words is "two hundred twelve trillion, one hundred twenty-three billion, two hundred eleven million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 212123211233 424246422466 848492844932 1060616056165 1696985689864 2121232112330 4242464224660 5303080280825 8484928449320 10606160561650 21212321123300 26515401404125 42424642246600 53030802808250 106061605616500 212123211233000