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12201020212110 = 23537179110355673
BaseRepresentation
bin1011000110001100010101…
…1110011100001110001110
31121012101222002001221012120
42301203011132130032032
53044400142133241420
641541023222513410
72366331440431602
oct261430536341616
947171862057176
1012201020212110
113984472914504
121450780b95866
136a67221a4a62
1430276538d502
1516259ac19d40
hexb18c579c38e

12201020212110 has 128 divisors (see below), whose sum is σ = 30269837998080. Its totient is φ = 3145074287616.

The previous prime is 12201020212109. The next prime is 12201020212189. The reversal of 12201020212110 is 1121202010221.

12201020212110 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 self number, because there is not a number n which added to its sum of digits gives 12201020212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219127234 + ... + 219182906.

It is an arithmetic number, because the mean of its divisors is an integer number (236483109360).

Almost surely, 212201020212110 is an apocalyptic number.

12201020212110 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 12201020212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134918999040).

12201020212110 is an abundant number, since it is smaller than the sum of its proper divisors (18068817785970).

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

12201020212110 is a wasteful number, since it uses less digits than its factorization.

12201020212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57002.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201020212110 its reverse (1121202010221), we get a palindrome (13322222222331).

The spelling of 12201020212110 in words is "twelve trillion, two hundred one billion, twenty million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 179 185 222 358 370 537 555 895 1074 1103 1110 1790 2206 2685 3309 5370 5515 6618 6623 11030 13246 16545 19869 33090 33115 39738 40811 55673 66230 81622 99345 111346 122433 167019 197437 198690 204055 244866 278365 334038 394874 408110 556730 592311 612165 835095 987185 1184622 1224330 1670190 1974370 2059901 2961555 4119802 5923110 6179703 7305169 9965467 10299505 12359406 14610338 19930934 20599010 21915507 29896401 30898515 36525845 43831014 49827335 59792802 61407319 61797030 73051690 99654670 109577535 122814638 149482005 184221957 219155070 298964010 307036595 368443914 368722279 614073190 737444558 921109785 1106166837 1842219570 1843611395 2212333674 2272070803 3687222790 4544141606 5530834185 6816212409 10991910101 11061668370 11360354015 13632424818 21983820202 22720708030 32975730303 34081062045 54959550505 65951460606 68162124090 109919101010 164878651515 329757303030 406700673737 813401347474 1220102021211 2033503368685 2440204042422 4067006737370 6100510106055 12201020212110