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12120102222100 = 22527110116901551
BaseRepresentation
bin1011000001011110111001…
…1000110011100100010100
31120220200002202121010122121
42300113232120303210110
53042033432132101400
641435521553305324
72360435301033355
oct260275630634424
946820082533577
1012120102222100
1139531198089a4
121438b59865244
1369bbc7b17cb2
142dc88a733d2c
15160411d6921a
hexb05ee633914

12120102222100 has 72 divisors (see below), whose sum is σ = 26935124541696. Its totient is φ = 4732434000000.

The previous prime is 12120102221939. The next prime is 12120102222103. The reversal of 12120102222100 is 122220102121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120102222103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7733676 + ... + 9167875.

It is an arithmetic number, because the mean of its divisors is an integer number (374098951968).

Almost surely, 212120102222100 is an apocalyptic number.

12120102222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120102222100 is an abundant number, since it is smaller than the sum of its proper divisors (14815022319596).

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

12120102222100 is a wasteful number, since it uses less digits than its factorization.

12120102222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16901737 (or 16901730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120102222100 its reverse (122220102121), we get a palindrome (12242322324221).

The spelling of 12120102222100 in words is "twelve trillion, one hundred twenty billion, one hundred two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 101 142 202 284 355 404 505 710 1010 1420 1775 2020 2525 3550 5050 7100 7171 10100 14342 28684 35855 71710 143420 179275 358550 717100 16901551 33803102 67606204 84507755 169015510 338031020 422538775 845077550 1200010121 1690155100 1707056651 2400020242 3414113302 4800040484 6000050605 6828226604 8535283255 12000101210 17070566510 24000202420 30000253025 34141133020 42676416275 60000506050 85352832550 120001012100 121201022221 170705665100 242402044442 484804088884 606005111105 1212010222210 2424020444420 3030025555525 6060051111050 12120102222100