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12202102000112 = 243158776954499
BaseRepresentation
bin1011000110010000010111…
…1101001000100111110000
31121012111202110122110100212
42301210011331020213300
53044404401103000422
641541322425203252
72366400314453513
oct261440575104760
947174673573325
1012202102000112
11398497851a882
121450a23330528
136a686534a0bb
14302828d0ad7a
15162610ba49e2
hexb1905f489f0

12202102000112 has 80 divisors (see below), whose sum is σ = 24478016640000. Its totient is φ = 5886411816960.

The previous prime is 12202102000103. The next prime is 12202102000129. The reversal of 12202102000112 is 21100020120221.

It is a super-2 number, since 2×122021020001122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223868639 + ... + 223923137.

It is an arithmetic number, because the mean of its divisors is an integer number (305975208000).

Almost surely, 212202102000112 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 12202102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239008320000).

12202102000112 is an abundant number, since it is smaller than the sum of its proper divisors (12275914639888).

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

12202102000112 is a wasteful number, since it uses less digits than its factorization.

12202102000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55894 (or 55888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202102000112 its reverse (21100020120221), we get a palindrome (33302122120333).

The spelling of 12202102000112 in words is "twelve trillion, two hundred two billion, one hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 124 248 496 587 769 1174 1538 2348 3076 4696 6152 9392 12304 18197 23839 36394 47678 54499 72788 95356 108998 145576 190712 217996 291152 381424 435992 451403 871984 902806 1689469 1805612 3378938 3611224 6757876 7222448 13515752 13993493 27031504 27986986 31990913 41909731 55973972 63981826 83819462 111947944 127963652 167638924 223895888 255927304 335277848 511854608 670555696 991718303 1299201661 1983436606 2598403322 3966873212 5196806644 7933746424 10393613288 15867492848 20787226576 24601012097 49202024194 98404048388 196808096776 393616193552 762631375007 1525262750014 3050525500028 6101051000056 12202102000112