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12221031120 = 2435311163733
BaseRepresentation
bin10110110000110111…
…00010001011010000
31011112201000201001020
423120123202023100
5200012040443440
65340403035440
7611564023224
oct133033421320
934481021036
1012221031120
1152014a9621
12245096bb80
1311c9ba367c
1483d116784
154b7d813d0
hex2d86e22d0

12221031120 has 80 divisors (see below), whose sum is σ = 38007245952. Its totient is φ = 3248442880.

The previous prime is 12221031091. The next prime is 12221031149. The reversal of 12221031120 is 2113012221.

It is an interprime number because it is at equal distance from previous prime (12221031091) and next prime (12221031149).

It is a tau number, because it is divible by the number of its divisors (80).

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 12221031120.

It is a congruent 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, 7227 + ... + 156506.

Almost surely, 212221031120 is an apocalyptic number.

12221031120 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 12221031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003622976).

12221031120 is an abundant number, since it is smaller than the sum of its proper divisors (25786214832).

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

12221031120 is a wasteful number, since it uses less digits than its factorization.

12221031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164060 (or 164054 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12221031120 its reverse (2113012221), we get a palindrome (14334043341).

The spelling of 12221031120 in words is "twelve billion, two hundred twenty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 74640 163733 327466 491199 654932 818665 982398 1309864 1637330 1964796 2455995 2619728 3274660 3929592 4911990 6549320 7859184 9823980 13098640 19647960 39295920 50920963 101841926 152762889 203683852 254604815 305525778 407367704 509209630 611051556 763814445 814735408 1018419260 1222103112 1527628890 2036838520 2444206224 3055257780 4073677040 6110515560 12221031120