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12122210988 = 22323724593701
BaseRepresentation
bin10110100101000101…
…00100001010101100
31011021211002010022100
423102202210022230
5144311241222423
65322513015100
7606254043666
oct132242441254
934254063270
1012122210988
115160743598
122423854490
1311b2583c14
1482dd51536
154ae361343
hex2d28a42ac

12122210988 has 72 divisors (see below), whose sum is σ = 31491729360. Its totient is φ = 3928867200.

The previous prime is 12122210981. The next prime is 12122211037. The reversal of 12122210988 is 88901222121.

It is a super-2 number, since 2×121222109882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12122210981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273538 + ... + 3277238.

It is an arithmetic number, because the mean of its divisors is an integer number (437385130).

Almost surely, 212122210988 is an apocalyptic number.

12122210988 is a gapful number since it is divisible by the number (18) 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 12122210988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745864680).

12122210988 is an abundant number, since it is smaller than the sum of its proper divisors (19369518372).

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

12122210988 is a wasteful number, since it uses less digits than its factorization.

12122210988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12122210988 in words is "twelve billion, one hundred twenty-two million, two hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2459 3701 4918 7377 7402 9836 11103 14754 14804 22131 22206 29508 33309 44262 44412 66618 88524 90983 133236 136937 181966 272949 273874 363932 410811 545898 547748 818847 821622 1091796 1232433 1637694 1643244 2464866 3275388 4929732 9100759 18201518 27302277 36403036 54604554 81906831 109209108 163813662 327627324 336728083 673456166 1010184249 1346912332 2020368498 3030552747 4040736996 6061105494 12122210988