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12122101002 = 23111012278011
BaseRepresentation
bin10110100101000100…
…01001010100001010
31011021210212112102210
423102202021110022
5144311224213002
65322510405550
7606253105224
oct132242112412
934253775383
1012122101002
1151606789a0
1224238008b6
1311b2545b3b
1482dd23414
154ae33d96c
hex2d288950a

12122101002 has 64 divisors (see below), whose sum is σ = 26831098368. Its totient is φ = 3620520000.

The previous prime is 12122100953. The next prime is 12122101009. The reversal of 12122101002 is 20010122121.

It is not an unprimeable number, because it can be changed into a prime (12122101009) 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, 1509177 + ... + 1517187.

It is an arithmetic number, because the mean of its divisors is an integer number (419235912).

Almost surely, 212122101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415549184).

12122101002 is an abundant number, since it is smaller than the sum of its proper divisors (14708997366).

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

12122101002 is a wasteful number, since it uses less digits than its factorization.

12122101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355.

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

Adding to 12122101002 its reverse (20010122121), we get a palindrome (32132223123).

The spelling of 12122101002 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 202 227 303 454 606 681 1111 1362 2222 2497 3333 4994 6666 7491 8011 14982 16022 22927 24033 45854 48066 68781 88121 137562 176242 252197 264363 504394 528726 756591 809111 1513182 1618222 1818497 2427333 3636994 4854666 5455491 8900221 10910982 17800442 20003467 26700663 40006934 53401326 60010401 120020802 183668197 367336394 551004591 1102009182 2020350167 4040700334 6061050501 12122101002