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21212000112 = 2437328321391
BaseRepresentation
bin10011110000010101…
…010110111101110000
32000202022010020211210
4103300111112331300
5321420233000422
613424502440120
71350440011632
oct236025267560
960668106753
1021212000112
118aa5691706
12413ba33040
132000811174
14105325aa52
1584237710c
hex4f0556f70

21212000112 has 80 divisors (see below), whose sum is σ = 55747209728. Its totient is φ = 6948840960.

The previous prime is 21212000107. The next prime is 21212000119. The reversal of 21212000112 is 21100021212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212000119) 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, 980937 + ... + 1002327.

Almost surely, 221212000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27873604864).

21212000112 is an abundant number, since it is smaller than the sum of its proper divisors (34535209616).

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

21212000112 is a wasteful number, since it uses less digits than its factorization.

21212000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21758 (or 21752 counting only the distinct ones).

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

Adding to 21212000112 its reverse (21100021212), we get a palindrome (42312021324).

The spelling of 21212000112 in words is "twenty-one billion, two hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 283 292 438 566 584 849 876 1132 1168 1698 1752 2264 3396 3504 4528 6792 13584 20659 21391 41318 42782 61977 64173 82636 85564 123954 128346 165272 171128 247908 256692 330544 342256 495816 513384 991632 1026768 1561543 3123086 4684629 6053653 6246172 9369258 12107306 12492344 18160959 18738516 24214612 24984688 36321918 37477032 48429224 72643836 74954064 96858448 145287672 290575344 441916669 883833338 1325750007 1767666676 2651500014 3535333352 5303000028 7070666704 10606000056 21212000112