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12100222222002 = 23219296771802107
BaseRepresentation
bin1011000000010100110101…
…1100100111111010110010
31120211202210021212111022200
42300011031130213322302
53041222223342101002
641422433152044030
72356132533600405
oct260051534477262
946752707774280
1012100222222002
113945747aa0652
12143512bb33616
1369a07a267225
142db922367d3c
1515eb4b903b1c
hexb014d727eb2

12100222222002 has 96 divisors (see below), whose sum is σ = 28590803841600. Its totient is φ = 3683908335744.

The previous prime is 12100222221961. The next prime is 12100222222043. The reversal of 12100222222002 is 20022222200121.

12100222222002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12100222221961) and next prime (12100222222043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5813433 + ... + 7615539.

It is an arithmetic number, because the mean of its divisors is an integer number (297820873350).

Almost surely, 212100222222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100222222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295401920800).

12100222222002 is an abundant number, since it is smaller than the sum of its proper divisors (16490581619598).

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

12100222222002 is a wasteful number, since it uses less digits than its factorization.

12100222222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802840 (or 1802837 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12100222222002 its reverse (20022222200121), we get a palindrome (32122444422123).

The spelling of 12100222222002 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 677 1102 1354 1653 2031 3306 4062 4959 6093 9918 12186 12863 19633 25726 38589 39266 58899 77178 115767 117798 176697 231534 353394 373027 746054 1119081 1802107 2238162 3357243 3604214 5406321 6714486 10812642 16218963 32437926 34240033 52261103 68480066 102720099 104522206 156783309 205440198 308160297 313566618 470349927 616320594 940699854 992960957 1220026439 1985921914 2440052878 2978882871 3660079317 5957765742 7320158634 8936648613 10980237951 17873297226 21960475902 23180502341 35380766731 46361004682 69541507023 70761533462 106142300193 139083014046 208624521069 212284600386 318426900579 417249042138 636853801158 672234567889 1344469135778 2016703703667 4033407407334 6050111111001 12100222222002