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212100121332 = 2232111201445967
BaseRepresentation
bin1100010110001000100…
…1110000001011110100
3202021110121210112111100
43011202021300023310
511433340112340312
6241234253410100
721216016166451
oct3054211601364
9667417715440
10212100121332
1181a50a97480
1235133a99930
131700213a798
14a3a1122828
1557b58c05dc
hex31622702f4

212100121332 has 72 divisors (see below), whose sum is σ = 585370461312. Its totient is φ = 64219104000.

The previous prime is 212100121319. The next prime is 212100121379. The reversal of 212100121332 is 233121001212.

212100121332 is a `hidden beast` number, since 2 + 1 + 210 + 0 + 121 + 332 = 666.

It is a super-2 number, since 2×2121001213322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252613 + ... + 698579.

It is an arithmetic number, because the mean of its divisors is an integer number (8130145296).

Almost surely, 2212100121332 is an apocalyptic number.

212100121332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212100121332 is an abundant number, since it is smaller than the sum of its proper divisors (373270339980).

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

212100121332 is a wasteful number, since it uses less digits than its factorization.

212100121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447189 (or 447184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212100121332 its reverse (233121001212), we get a palindrome (445221122544).

The spelling of 212100121332 in words is "two hundred twelve billion, one hundred million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1201 2402 3603 4804 7206 10809 13211 14412 21618 26422 39633 43236 52844 79266 118899 158532 237798 445967 475596 891934 1337901 1783868 2675802 4013703 4905637 5351604 8027406 9811274 14716911 16054812 19622548 29433822 44150733 58867644 88301466 176602932 535606367 1071212734 1606819101 2142425468 3213638202 4820457303 5891670037 6427276404 9640914606 11783340074 17675010111 19281829212 23566680148 35350020222 53025030333 70700040444 106050060666 212100121332