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1222210000120 = 235533591605889
BaseRepresentation
bin10001110010010001011…
…001001001010011111000
311022211201220202000110111
4101302101121021103320
5130011041230000440
62333250413554104
7154205334405664
oct21622131112370
94284656660414
101222210000120
1143137775599a
12178a577a5934
138b33bab5905
14432261318a4
1521bd499b4ea
hex11c916494f8

1222210000120 has 64 divisors (see below), whose sum is σ = 2809665144000. Its totient is φ = 478323376128.

The previous prime is 1222210000117. The next prime is 1222210000127. The reversal of 1222210000120 is 210000122221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1222210000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222210000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41865 + ... + 1564024.

It is an arithmetic number, because the mean of its divisors is an integer number (43901017875).

Almost surely, 21222210000120 is an apocalyptic number.

1222210000120 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 1222210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404832572000).

1222210000120 is an abundant number, since it is smaller than the sum of its proper divisors (1587455143880).

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

1222210000120 is a wasteful number, since it uses less digits than its factorization.

1222210000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606312 (or 1606308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1222210000120 its reverse (210000122221), we get a palindrome (1432210122341).

The spelling of 1222210000120 in words is "one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 359 424 530 718 1060 1436 1795 2120 2872 3590 7180 14360 19027 38054 76108 95135 152216 190270 380540 761080 1605889 3211778 6423556 8029445 12847112 16058890 32117780 64235560 85112117 170224234 340448468 425560585 576514151 680896936 851121170 1153028302 1702242340 2306056604 2882570755 3404484680 4612113208 5765141510 11530283020 23060566040 30555250003 61110500006 122221000012 152776250015 244442000024 305552500030 611105000060 1222210000120