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212112121000 = 23531316316317
BaseRepresentation
bin1100010110001011011…
…1100001110010101000
3202021111110101011221111
43011202313201302220
511433401200333000
6241235402520104
721216223165063
oct3054267416250
9667443334844
10212112121000
1181a57842a5a
1235137b06034
131700477c590
14a3a29678da
1557b6990cba
hex3162de1ca8

212112121000 has 64 divisors (see below), whose sum is σ = 534522577680. Its totient is φ = 78318316800.

The previous prime is 212112120977. The next prime is 212112121049. The reversal of 212112121000 is 121211212.

It can be written as a sum of positive squares in 8 ways, for example, as 9552716644 + 202559404356 = 97738^2 + 450066^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 8145159 + ... + 8171158.

Almost surely, 2212112121000 is an apocalyptic number.

212112121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112121000 is an abundant number, since it is smaller than the sum of its proper divisors (322410456680).

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

212112121000 is a wasteful number, since it uses less digits than its factorization.

212112121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16316351 (or 16316337 counting only the distinct ones).

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

Adding to 212112121000 its reverse (121211212), we get a palindrome (212233332212).

The spelling of 212112121000 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 16316317 32632634 65265268 81581585 130530536 163163170 212112121 326326340 407907925 424224242 652652680 815815850 848448484 1060560605 1631631700 1696896968 2039539625 2121121210 3263263400 4079079250 4242242420 5302803025 8158158500 8484484840 10605606050 16316317000 21211212100 26514015125 42422424200 53028030250 106056060500 212112121000