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12215013000 = 2335310738053
BaseRepresentation
bin10110110000001001…
…00100111010001000
31011112021200221201220
423120010210322020
5200004020404000
65340030042040
7611461616541
oct133004447210
934467627656
1012215013000
1151a9069073
12244a949320
1311c8877358
1483c3cb4c8
154b75931a0
hex2d8124e88

12215013000 has 128 divisors (see below), whose sum is σ = 38468027520. Its totient is φ = 3226809600.

The previous prime is 12215012963. The next prime is 12215013001. The reversal of 12215013000 is 31051221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12215013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301974 + ... + 340026.

It is an arithmetic number, because the mean of its divisors is an integer number (300531465).

Almost surely, 212215013000 is an apocalyptic number.

12215013000 is a gapful number since it is divisible by the number (10) 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 12215013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234013760).

12215013000 is an abundant number, since it is smaller than the sum of its proper divisors (26253014520).

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

12215013000 is a wasteful number, since it uses less digits than its factorization.

12215013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38184 (or 38170 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12215013000 its reverse (31051221), we get a palindrome (12246064221).

The spelling of 12215013000 in words is "twelve billion, two hundred fifteen million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1500 1605 2140 2568 2675 3000 3210 4280 5350 6420 8025 10700 12840 13375 16050 21400 26750 32100 38053 40125 53500 64200 76106 80250 107000 114159 152212 160500 190265 228318 304424 321000 380530 456636 570795 761060 913272 951325 1141590 1522120 1902650 2283180 2853975 3805300 4071671 4566360 4756625 5707950 7610600 8143342 9513250 11415900 12215013 14269875 16286684 19026500 20358355 22831800 24430026 28539750 32573368 38053000 40716710 48860052 57079500 61075065 81433420 97720104 101791775 114159000 122150130 162866840 203583550 244300260 305375325 407167100 488600520 508958875 610750650 814334200 1017917750 1221501300 1526876625 2035835500 2443002600 3053753250 4071671000 6107506500 12215013000