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212012112121120 = 2558315964767479
BaseRepresentation
bin110000001101001011101010…
…101000011000110100100000
31000210200011022121210122222101
4300031023222220120310200
5210242101301200333440
62030525004132220144
762441240531551513
oct6015135250306440
91023604277718871
10212012112121120
116160a91716a003
121b94144b46a654
13913b86c10bc2c
143a4d626088d7a
151979dc54cb69a
hexc0d2eaa18d20

212012112121120 has 48 divisors (see below), whose sum is σ = 506913297024960. Its totient is φ = 83783099724544.

The previous prime is 212012112121097. The next prime is 212012112121133. The reversal of 212012112121120 is 21121211210212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7982370460 + ... + 7982397019.

It is an arithmetic number, because the mean of its divisors is an integer number (10560693688020).

Almost surely, 2212012112121120 is an apocalyptic number.

212012112121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012112121120 is an abundant number, since it is smaller than the sum of its proper divisors (294901184903840).

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

212012112121120 is a wasteful number, since it uses less digits than its factorization.

212012112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964767577 (or 15964767569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212012112121120 its reverse (21121211210212), we get a palindrome (233133323331332).

The spelling of 212012112121120 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 15964767479 31929534958 63859069916 79823837395 127718139832 159647674790 255436279664 319295349580 510872559328 638590699160 1277181398320 1325075700757 2554362796640 2650151401514 5300302803028 6625378503785 10600605606056 13250757007570 21201211212112 26501514015140 42402422424224 53003028030280 106006056060560 212012112121120