Search a number
-
+
212010120120 = 23354021439381
BaseRepresentation
bin1100010101110011001…
…0011011001110111000
3202021020100110000001010
43011130302123032320
511433144042320440
6241221320353520
721213544200321
oct3053462331670
9667210400033
10212010120120
1181a05205207
12351099158a0
1316cb95b8126
14a3931b5448
1557aca43580
hex315cc9b3b8

212010120120 has 64 divisors (see below), whose sum is σ = 636189985440. Its totient is φ = 56521843200.

The previous prime is 212010119833. The next prime is 212010120121. The reversal of 212010120120 is 21021010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212010120096 and 212010120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010120121) 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, 262830 + ... + 702210.

Almost surely, 2212010120120 is an apocalyptic number.

212010120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010120120 is an abundant number, since it is smaller than the sum of its proper divisors (424179865320).

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

212010120120 is a wasteful number, since it uses less digits than its factorization.

212010120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443416 (or 443412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010120120 its reverse (21021010212), we get a palindrome (233031130332).

The spelling of 212010120120 in words is "two hundred twelve billion, ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4021 8042 12063 16084 20105 24126 32168 40210 48252 60315 80420 96504 120630 160840 241260 439381 482520 878762 1318143 1757524 2196905 2636286 3515048 4393810 5272572 6590715 8787620 10545144 13181430 17575240 26362860 52725720 1766751001 3533502002 5300253003 7067004004 8833755005 10600506006 14134008008 17667510010 21201012012 26501265015 35335020020 42402024024 53002530030 70670040040 106005060060 212010120120