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22200120120 = 23351131637177
BaseRepresentation
bin10100101011001110…
…101111001100111000
32010022011102221200010
4110223032233030320
5330431212320440
614110521341520
71414065623163
oct245316571470
963264387603
1022200120120
119462430912
1243769378a0
13212a44bb69
141108594ada
1589dead580
hex52b3af338

22200120120 has 64 divisors (see below), whose sum is σ = 67189785120. Its totient is φ = 5867638784.

The previous prime is 22200120101. The next prime is 22200120133. The reversal of 22200120120 is 2102100222.

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

22200120120 is a modest number, since divided by 120120 gives 22200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22200120096 and 22200120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805029 + ... + 832148.

Almost surely, 222200120120 is an apocalyptic number.

22200120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200120120 is an abundant number, since it is smaller than the sum of its proper divisors (44989665000).

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

22200120120 is a wasteful number, since it uses less digits than its factorization.

22200120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637304 (or 1637300 counting only the distinct ones).

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

Adding to 22200120120 its reverse (2102100222), we get a palindrome (24302220342).

The spelling of 22200120120 in words is "twenty-two billion, two hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 1637177 3274354 4911531 6548708 8185885 9823062 13097416 16371770 19646124 24557655 32743540 39292248 49115310 65487080 98230620 185001001 196461240 370002002 555003003 740004004 925005005 1110006006 1480008008 1850010010 2220012012 2775015015 3700020020 4440024024 5550030030 7400040040 11100060060 22200120120