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212101011010120 = 23589166335826179
BaseRepresentation
bin110000001110011110011101…
…011010101111001001001000
31000210222122210010202010202211
4300032132131122233021020
5210300030332304310440
62031033505340034504
762450535530624101
oct6016363532571110
91023878703663684
10212101011010120
1161644596287101
121b95671b532a34
139147068a8192b
143a53a5aa393a8
15197c379d52eea
hexc0e79d6af248

212101011010120 has 64 divisors (see below), whose sum is σ = 482879584512000. Its totient is φ = 83836695833088.

The previous prime is 212101011010081. The next prime is 212101011010121. The reversal of 212101011010120 is 21010110101212.

It is a happy number.

212101011010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212101011010120.

It is not an unprimeable number, because it can be changed into a prime (212101011010121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11992810 + ... + 23833369.

It is an arithmetic number, because the mean of its divisors is an integer number (7544993508000).

Almost surely, 2212101011010120 is an apocalyptic number.

212101011010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101011010120 is an abundant number, since it is smaller than the sum of its proper divisors (270778573501880).

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

212101011010120 is a wasteful number, since it uses less digits than its factorization.

212101011010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35827942 (or 35827938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212101011010120 its reverse (21010110101212), we get a palindrome (233111121111332).

The spelling of 212101011010120 in words is "two hundred twelve trillion, one hundred one billion, eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1663 1780 3326 3560 6652 8315 13304 16630 33260 66520 148007 296014 592028 740035 1184056 1480070 2960140 5920280 35826179 71652358 143304716 179130895 286609432 358261790 716523580 1433047160 3188529931 6377059862 12754119724 15942649655 25508239448 31885299310 59578935677 63770598620 119157871354 127541197240 238315742708 297894678385 476631485416 595789356770 1191578713540 2383157427080 5302525275253 10605050550506 21210101101012 26512626376265 42420202202024 53025252752530 106050505505060 212101011010120