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12022200120 = 23357131109253
BaseRepresentation
bin10110011001001010…
…00011011100111000
31011000211220001012010
423030211003130320
5144110140400440
65304541245520
7603631005060
oct131445033470
934024801163
1012022200120
11510a244987
1223b62638a0
1311979384a8
1482095a3a0
154a56a8580
hex2cc943738

12022200120 has 128 divisors (see below), whose sum is σ = 41534000640. Its totient is φ = 2726929920.

The previous prime is 12022200101. The next prime is 12022200137. The reversal of 12022200120 is 2100222021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12022200096 and 12022200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55414 + ... + 164666.

It is an arithmetic number, because the mean of its divisors is an integer number (324484380).

Almost surely, 212022200120 is an apocalyptic number.

12022200120 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 12022200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20767000320).

12022200120 is an abundant number, since it is smaller than the sum of its proper divisors (29511800520).

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

12022200120 is a wasteful number, since it uses less digits than its factorization.

12022200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109405 (or 109401 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12022200120 its reverse (2100222021), we get a palindrome (14122422141).

It can be divided in two parts, 120222001 and 20, that added together give a palindrome (120222021).

The spelling of 12022200120 in words is "twelve billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1965 2620 2751 3144 3668 3930 4585 5240 5502 7336 7860 9170 11004 13755 15720 18340 22008 27510 36680 55020 109253 110040 218506 327759 437012 546265 655518 764771 874024 1092530 1311036 1529542 1638795 2185060 2294313 2622072 3059084 3277590 3823855 4370120 4588626 6118168 6555180 7647710 9177252 11471565 13110360 14312143 15295420 18354504 22943130 28624286 30590840 42936429 45886260 57248572 71560715 85872858 91772520 100185001 114497144 143121430 171745716 200370002 214682145 286242860 300555003 343491432 400740004 429364290 500925005 572485720 601110006 801480008 858728580 1001850010 1202220012 1502775015 1717457160 2003700020 2404440024 3005550030 4007400040 6011100060 12022200120