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10212112120 = 235736471829
BaseRepresentation
bin10011000001011000…
…00111011011111000
3222100200220001020211
421200230013123320
5131403300041440
64405201000504
7511031343430
oct114054073370
928320801224
1010212112120
11437051aa91
121b90023134
13c699257c2
146cc3b92c0
153eb80aeea
hex260b076f8

10212112120 has 32 divisors (see below), whose sum is σ = 26259717600. Its totient is φ = 3501295488.

The previous prime is 10212112117. The next prime is 10212112123. The reversal of 10212112120 is 2121121201.

It is an interprime number because it is at equal distance from previous prime (10212112117) and next prime (10212112123).

It is a self number, because there is not a number n which added to its sum of digits gives 10212112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212112123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18235635 + ... + 18236194.

It is an arithmetic number, because the mean of its divisors is an integer number (820616175).

Almost surely, 210212112120 is an apocalyptic number.

10212112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212112120 is an abundant number, since it is smaller than the sum of its proper divisors (16047605480).

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

10212112120 is a wasteful number, since it uses less digits than its factorization.

10212112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36471847 (or 36471843 counting only the distinct ones).

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

Adding to 10212112120 its reverse (2121121201), we get a palindrome (12333233321).

The spelling of 10212112120 in words is "ten billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 36471829 72943658 145887316 182359145 255302803 291774632 364718290 510605606 729436580 1021211212 1276514015 1458873160 2042422424 2553028030 5106056060 10212112120