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22200123120 = 2435713214359
BaseRepresentation
bin10100101011001110…
…101111111011110000
32010022011110002210020
4110223032233323300
5330431212414440
614110521403440
71414065635010
oct245316577360
963264402706
1022200123120
11946243309a
124376939580
13212a450336
141108595c40
1589deae3d0
hex52b3afef0

22200123120 has 80 divisors (see below), whose sum is σ = 78651870720. Its totient is φ = 5074313472.

The previous prime is 22200123053. The next prime is 22200123131. The reversal of 22200123120 is 2132100222.

It is a happy number.

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 22200123120.

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, 6605500 + ... + 6608859.

It is an arithmetic number, because the mean of its divisors is an integer number (983148384).

Almost surely, 222200123120 is an apocalyptic number.

22200123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200123120 is an abundant number, since it is smaller than the sum of its proper divisors (56451747600).

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

22200123120 is a wasteful number, since it uses less digits than its factorization.

22200123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214382 (or 13214376 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22200123120 its reverse (2132100222), we get a palindrome (24332223342).

The spelling of 22200123120 in words is "twenty-two billion, two hundred million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13214359 26428718 39643077 52857436 66071795 79286154 92500513 105714872 132143590 158572308 185001026 198215385 211429744 264287180 277501539 317144616 370002052 396430770 462502565 528574360 555003078 634289232 740004104 792861540 925005130 1057148720 1110006156 1387507695 1480008208 1585723080 1850010260 2220012312 2775015390 3171446160 3700020520 4440024624 5550030780 7400041040 11100061560 22200123120