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12011221002 = 23113173137587
BaseRepresentation
bin10110010111110110…
…01011000000001010
31011000002020020200010
423023323023000022
5144044333033002
65303510052350
7603435460014
oct131373130012
934002206603
1012011221002
115104026130
1223b264a0b6
131195593081
1481d2dd1b4
154a473a46c
hex2cbecb00a

12011221002 has 128 divisors (see below), whose sum is σ = 27669454848. Its totient is φ = 3442867200.

The previous prime is 12011220973. The next prime is 12011221009. The reversal of 12011221002 is 20012211021.

It is not an unprimeable number, because it can be changed into a prime (12011221009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20461753 + ... + 20462339.

It is an arithmetic number, because the mean of its divisors is an integer number (216167616).

Almost surely, 212011221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834727424).

12011221002 is an abundant number, since it is smaller than the sum of its proper divisors (15658233846).

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

12011221002 is a wasteful number, since it uses less digits than its factorization.

12011221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844.

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

Adding to 12011221002 its reverse (20012211021), we get a palindrome (32023432023).

The spelling of 12011221002 in words is "twelve billion, eleven million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 73 93 137 146 186 219 274 341 411 438 587 682 803 822 1023 1174 1507 1606 1761 2046 2263 2409 3014 3522 4247 4521 4526 4818 6457 6789 8494 9042 10001 12741 12914 13578 18197 19371 20002 24893 25482 30003 36394 38742 42851 46717 49786 54591 60006 74679 80419 85702 93434 109182 110011 128553 140151 149358 160838 200167 220022 241257 257106 280302 310031 330033 400334 471361 482514 600501 620062 660066 884609 930093 942722 1201002 1328381 1414083 1769218 1860186 2492989 2653827 2656762 2828166 3410341 3985143 4985978 5307654 5870587 6820682 7478967 7970286 10231023 11741174 14612191 14957934 17611761 20462046 27422879 29224382 35223522 43836573 54845758 64576457 82268637 87673146 129152914 164537274 181988197 193729371 363976394 387458742 545964591 1091929182 2001870167 4003740334 6005610501 12011221002