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12101011212210 = 2352322233419321
BaseRepresentation
bin1011000000010111110001…
…1110011000011110110010
31120211211211021111100102020
42300011330132120132302
53041230332332242320
641423043334532310
72356161224110404
oct260057436303662
946754737440366
1012101011212210
1139460123a1678
121435310207096
1369a174863a3b
142db999068b74
1515eb95d03940
hexb017c7987b2

12101011212210 has 96 divisors (see below), whose sum is σ = 30496194344448. Its totient is φ = 3072792433920.

The previous prime is 12101011212203. The next prime is 12101011212211. The reversal of 12101011212210 is 1221211010121.

It is a happy number.

12101011212210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12101011212210.

It is not an unprimeable number, because it can be changed into a prime (12101011212211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829350 + ... + 5248670.

It is an arithmetic number, because the mean of its divisors is an integer number (317668691088).

Almost surely, 212101011212210 is an apocalyptic number.

12101011212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101011212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248097172224).

12101011212210 is an abundant number, since it is smaller than the sum of its proper divisors (18395183132238).

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

12101011212210 is a wasteful number, since it uses less digits than its factorization.

12101011212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419600 (or 3419577 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12101011212210 its reverse (1221211010121), we get a palindrome (13322222222331).

The spelling of 12101011212210 in words is "twelve trillion, one hundred one billion, eleven million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 223 230 345 446 529 669 690 1058 1115 1338 1587 2230 2645 3174 3345 5129 5290 6690 7935 10258 15387 15870 25645 30774 51290 76935 117967 153870 235934 353901 589835 707802 1179670 1769505 3419321 3539010 6838642 10257963 17096605 20515926 34193210 51289815 78644383 102579630 157288766 235933149 393221915 471866298 762508583 786443830 1179665745 1525017166 1808820809 2287525749 2359331490 3617641618 3812542915 4575051498 5426462427 7625085830 9044104045 10852924854 11437628745 17537697409 18088208090 22875257490 27132312135 35075394818 52613092227 54264624270 87688487045 105226184454 175376974090 263065461135 403367040407 526130922270 806734080814 1210101121221 2016835202035 2420202242442 4033670404070 6050505606105 12101011212210