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12220121000 = 235374316447
BaseRepresentation
bin10110110000110000…
…00011111110101000
31011112122022110121002
423120120003332220
5200011322333000
65340331334132
7611553212633
oct133030037650
934478273532
1012220121000
115200a3785a
1224505b1348
1311c9945339
1483cd5ac1a
154b7c518d5
hex2d8603fa8

12220121000 has 64 divisors (see below), whose sum is σ = 28635310080. Its totient is φ = 4881172800.

The previous prime is 12220120973. The next prime is 12220121041. The reversal of 12220121000 is 12102221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734777 + ... + 751223.

It is an arithmetic number, because the mean of its divisors is an integer number (447426720).

Almost surely, 212220121000 is an apocalyptic number.

12220121000 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 12220121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317655040).

12220121000 is an abundant number, since it is smaller than the sum of its proper divisors (16415189080).

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

12220121000 is a wasteful number, since it uses less digits than its factorization.

12220121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17211 (or 17197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12220121000 its reverse (12102221), we get a palindrome (12232223221).

The spelling of 12220121000 in words is "twelve billion, two hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 743 1000 1486 2972 3715 5944 7430 14860 16447 18575 29720 32894 37150 65788 74300 82235 92875 131576 148600 164470 185750 328940 371500 411175 657880 743000 822350 1644700 2055875 3289400 4111750 8223500 12220121 16447000 24440242 48880484 61100605 97760968 122201210 244402420 305503025 488804840 611006050 1222012100 1527515125 2444024200 3055030250 6110060500 12220121000