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12201102004 = 22713239140249
BaseRepresentation
bin10110101110011111…
…00000101010110100
31011111022112012102211
423113033200222310
5144441440231004
65334411543204
7611232440650
oct132717405264
934438465384
1012201102004
1151a1227583
12244615ab04
1311c5a165b0
1483a609a60
154b6246504
hex2d73e0ab4

12201102004 has 48 divisors (see below), whose sum is σ = 26389440000. Its totient is φ = 4806579456.

The previous prime is 12201101989. The next prime is 12201102019. The reversal of 12201102004 is 40020110221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12201101989) and next prime (12201102019).

It is a super-3 number, since 3×122011020043 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 16872 + ... + 157120.

It is an arithmetic number, because the mean of its divisors is an integer number (549780000).

Almost surely, 212201102004 is an apocalyptic number.

12201102004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194720000).

12201102004 is an abundant number, since it is smaller than the sum of its proper divisors (14188337996).

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

12201102004 is a wasteful number, since it uses less digits than its factorization.

12201102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140512 (or 140510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12201102004 its reverse (40020110221), we get a palindrome (52221212225).

The spelling of 12201102004 in words is "twelve billion, two hundred one million, one hundred two thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 239 364 478 956 1673 3107 3346 6214 6692 12428 21749 43498 86996 140249 280498 560996 981743 1823237 1963486 3646474 3926972 7292948 12762659 25525318 33519511 51050636 67039022 134078044 234636577 435753643 469273154 871507286 938546308 1743014572 3050275501 6100551002 12201102004