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12102120220 = 22523672111861
BaseRepresentation
bin10110100010101011…
…11011001100011100
31011020102021101221211
423101111323030130
5144241120321340
65320514234204
7605621216221
oct132125731434
934212241854
1012102120220
115150371053
122418b85964
1311ab36b3a8
1482b401948
154ac6e35ea
hex2d157b31c

12102120220 has 96 divisors (see below), whose sum is σ = 27057332736. Its totient is φ = 4537209600.

The previous prime is 12102120203. The next prime is 12102120221. The reversal of 12102120220 is 2202120121.

It is a happy number.

It is a super-2 number, since 2×121021202202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12102120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102120221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6502090 + ... + 6503950.

It is an arithmetic number, because the mean of its divisors is an integer number (281847216).

Almost surely, 212102120220 is an apocalyptic number.

12102120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528666368).

12102120220 is an abundant number, since it is smaller than the sum of its proper divisors (14955212516).

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

12102120220 is a wasteful number, since it uses less digits than its factorization.

12102120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12102120220 its reverse (2202120121), we get a palindrome (14304240341).

Subtracting from 12102120220 its reverse (2202120121), we obtain a palindrome (9900000099).

The spelling of 12102120220 in words is "twelve billion, one hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 211 230 268 335 422 460 670 844 1055 1340 1541 1861 2110 3082 3722 4220 4853 6164 7444 7705 9305 9706 14137 15410 18610 19412 24265 28274 30820 37220 42803 48530 56548 70685 85606 97060 124687 141370 171212 214015 249374 282740 325151 392671 428030 498748 623435 650302 785342 856060 1246870 1300604 1570684 1625755 1963355 2493740 2867801 3251510 3926710 5735602 6503020 7853420 9031433 11471204 14339005 18062866 26308957 28678010 36125732 45157165 52617914 57356020 90314330 105235828 131544785 180628660 263089570 526179140 605106011 1210212022 2420424044 3025530055 6051060110 12102120220