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12212201100 = 22352114917537
BaseRepresentation
bin10110101111110011…
…10110011010001100
31011112002102002112110
423113321312122030
5200002310413400
65335445504020
7611425665561
oct132771663214
934462362473
1012212201100
1151a7518490
122449a12010
1311c81014c8
1483bc98868
154b71d9e50
hex2d7e7668c

12212201100 has 144 divisors (see below), whose sum is σ = 38629777536. Its totient is φ = 2954112000.

The previous prime is 12212201087. The next prime is 12212201137. The reversal of 12212201100 is 110221221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1616532 + ... + 1624068.

It is an arithmetic number, because the mean of its divisors is an integer number (268262344).

Almost surely, 212212201100 is an apocalyptic number.

12212201100 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 12212201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19314888768).

12212201100 is an abundant number, since it is smaller than the sum of its proper divisors (26417576436).

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

12212201100 is a wasteful number, since it uses less digits than its factorization.

12212201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212201100 its reverse (110221221), we get a palindrome (12322422321).

It can be divided in two parts, 12212 and 201100, that added together give a palindrome (213312).

The spelling of 12212201100 in words is "twelve billion, two hundred twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 491 550 660 825 982 1100 1473 1650 1964 2455 2946 3300 4910 5401 5892 7365 7537 9820 10802 12275 14730 15074 16203 21604 22611 24550 27005 29460 30148 32406 36825 37685 45222 49100 54010 64812 73650 75370 81015 82907 90444 108020 113055 135025 147300 150740 162030 165814 188425 226110 248721 270050 324060 331628 376850 405075 414535 452220 497442 540100 565275 753700 810150 829070 994884 1130550 1243605 1620300 1658140 2072675 2261100 2487210 3700667 4145350 4974420 6218025 7401334 8290700 11102001 12436050 14802668 18503335 22204002 24872100 37006670 40707337 44408004 55510005 74013340 81414674 92516675 111020010 122122011 162829348 185033350 203536685 222040020 244244022 277550025 370066700 407073370 488488044 555100050 610610055 814146740 1017683425 1110200100 1221220110 2035366850 2442440220 3053050275 4070733700 6106100550 12212201100