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212112001020 = 22359736445361
BaseRepresentation
bin1100010110001011011…
…1000100011111111100
3202021111110011002100210
43011202313010133330
511433401133013040
6241235400152420
721216222155223
oct3054267043774
9667443132323
10212112001020
1181a577708a7
1235137a68710
1317004739a9a
14a3a2935cba
1557b696a480
hex3162dc47fc

212112001020 has 48 divisors (see below), whose sum is σ = 600036439968. Its totient is φ = 55980072960.

The previous prime is 212112000973. The next prime is 212112001021. The reversal of 212112001020 is 20100211212.

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 = 212112000987 and 212112001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112001021) 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, 18216861 + ... + 18228500.

It is an arithmetic number, because the mean of its divisors is an integer number (12500759166).

Almost surely, 2212112001020 is an apocalyptic number.

212112001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112001020 is an abundant number, since it is smaller than the sum of its proper divisors (387924438948).

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

212112001020 is a wasteful number, since it uses less digits than its factorization.

212112001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36445470 (or 36445468 counting only the distinct ones).

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

Adding to 212112001020 its reverse (20100211212), we get a palindrome (232212212232).

The spelling of 212112001020 in words is "two hundred twelve billion, one hundred twelve million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 36445361 72890722 109336083 145781444 182226805 218672166 364453610 437344332 546680415 728907220 1093360830 2186721660 3535200017 7070400034 10605600051 14140800068 17676000085 21211200102 35352000170 42422400204 53028000255 70704000340 106056000510 212112001020