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212012134020 = 223352417162439
BaseRepresentation
bin1100010101110011101…
…0000110111010000100
3202021020111020022121000
43011130322012322010
511433200101242040
6241221431453300
721213600255621
oct3053472067204
9667214208530
10212012134020
1181a06360295
123510a527230
1316cb9b4199b
14a39357b348
1557acce0130
hex315ce86e84

212012134020 has 96 divisors (see below), whose sum is σ = 659870265600. Its totient is φ = 56512829952.

The previous prime is 212012133997. The next prime is 212012134027. The reversal of 212012134020 is 20431210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012133984 and 212012134002.

It is not an unprimeable number, because it can be changed into a prime (212012134027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223961 + ... + 1386399.

It is an arithmetic number, because the mean of its divisors is an integer number (6873648600).

Almost surely, 2212012134020 is an apocalyptic number.

212012134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012134020 is an abundant number, since it is smaller than the sum of its proper divisors (447858131580).

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

212012134020 is a wasteful number, since it uses less digits than its factorization.

212012134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164874 (or 164866 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212012134020 its reverse (20431210212), we get a palindrome (232443344232).

The spelling of 212012134020 in words is "two hundred twelve billion, twelve million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2417 4834 7251 9668 12085 14502 21753 24170 29004 36255 43506 48340 65259 72510 87012 108765 130518 145020 162439 217530 261036 324878 326295 435060 487317 649756 652590 812195 974634 1305180 1461951 1624390 1949268 2436585 2923902 3248780 4385853 4873170 5847804 7309755 8771706 9746340 14619510 17543412 21929265 29239020 43858530 87717060 392615063 785230126 1177845189 1570460252 1963075315 2355690378 3533535567 3926150630 4711380756 5889225945 7067071134 7852301260 10600606701 11778451890 14134142268 17667677835 21201213402 23556903780 35335355670 42402426804 53003033505 70670711340 106006067010 212012134020