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12220000211120 = 24513109107798167
BaseRepresentation
bin1011000111010011000011…
…0001011001000010110000
31121021012221211021210010212
42301310300301121002300
53100203030023223440
641553442434043252
72400602665652642
oct261646061310260
947235854253125
1012220000211120
1139915225a96a9
121454399419528
136a845845b7c0
14303645ddc892
15162d0c153465
hexb1d30c590b0

12220000211120 has 80 divisors (see below), whose sum is σ = 30877707241920. Its totient is φ = 4470605540352.

The previous prime is 12220000211099. The next prime is 12220000211137. The reversal of 12220000211120 is 2111200002221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12220000211095 and 12220000211104.

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, 53785724 + ... + 54012443.

It is an arithmetic number, because the mean of its divisors is an integer number (385971340524).

Almost surely, 212220000211120 is an apocalyptic number.

12220000211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220000211120 is an abundant number, since it is smaller than the sum of its proper divisors (18657707030800).

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

12220000211120 is a wasteful number, since it uses less digits than its factorization.

12220000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107798302 (or 107798296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220000211120 its reverse (2111200002221), we get a palindrome (14331200213341).

The spelling of 12220000211120 in words is "twelve trillion, two hundred twenty billion, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1744 2180 2834 4360 5668 7085 8720 11336 14170 22672 28340 56680 113360 107798167 215596334 431192668 538990835 862385336 1077981670 1401376171 1724770672 2155963340 2802752342 4311926680 5605504684 7006880855 8623853360 11211009368 11750000203 14013761710 22422018736 23500000406 28027523420 47000000812 56055046840 58750001015 94000001624 112110093680 117500002030 152750002639 188000003248 235000004060 305500005278 470000008120 611000010556 763750013195 940000016240 1222000021112 1527500026390 2444000042224 3055000052780 6110000105560 12220000211120