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212112002012020 = 225111955837908797
BaseRepresentation
bin110000001110101000101100…
…100010000101001101110100
31000211000201011010020212221021
4300032220230202011031310
5210300220340003341040
62031042524123230524
762451405100612315
oct6016505442051564
91024021133225837
10212112002012020
1161649216429550
121b958888378444
1391480cab78756
143a543c064660c
15197c7bec1624a
hexc0ea2c885374

212112002012020 has 96 divisors (see below), whose sum is σ = 511514264257920. Its totient is φ = 73070688176640.

The previous prime is 212112002011979. The next prime is 212112002012087. The reversal of 212112002012020 is 20210200211212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212112002011985 and 212112002012003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232944262 + ... + 233853058.

It is an arithmetic number, because the mean of its divisors is an integer number (5328273586020).

Almost surely, 2212112002012020 is an apocalyptic number.

212112002012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112002012020 is an abundant number, since it is smaller than the sum of its proper divisors (299402262245900).

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

212112002012020 is a wasteful number, since it uses less digits than its factorization.

212112002012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964673 (or 964671 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212112002012020 its reverse (20210200211212), we get a palindrome (232322202223232).

The spelling of 212112002012020 in words is "two hundred twelve trillion, one hundred twelve billion, two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 55837 111674 223348 279185 558370 614207 908797 1060903 1116740 1228414 1817594 2121806 2456828 3071035 3635188 4243612 4543985 5304515 6142070 9087970 9996767 10609030 11669933 12284140 17267143 18175940 19993534 21218060 23339866 34534286 39987068 46679732 49983835 58349665 69068572 86335715 99967670 116699330 172671430 189938573 199935340 233398660 345342860 379877146 759754292 949692865 1899385730 3798771460 50744498089 101488996178 202977992356 253722490445 507444980890 558189478979 964145463691 1014889961780 1116378957958 1928290927382 2232757915916 2790947394895 3856581854764 4820727318455 5581894789790 9641454636910 10605600100601 11163789579580 19282909273820 21211200201202 42422400402404 53028000503005 106056001006010 212112002012020