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12220001002120 = 23517191907495973
BaseRepresentation
bin1011000111010011000011…
…0100011010001010001000
31121021012221212202222012011
42301310300310122022020
53100203030224031440
641553442503025304
72400603005456032
oct261646064321210
947235855688164
1012220001002120
113991522a99a1a
12145439973b234
136a8458677852
14303646166c52
15162d0c25c9ea
hexb1d30d1a288

12220001002120 has 128 divisors (see below), whose sum is σ = 30660715900800. Its totient is φ = 4356046688256.

The previous prime is 12220001002093. The next prime is 12220001002123. The reversal of 12220001002120 is 2120010002221.

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 12220001002120.

It is not an unprimeable number, because it can be changed into a prime (12220001002123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24390454 + ... + 24886426.

It is an arithmetic number, because the mean of its divisors is an integer number (239536842975).

Almost surely, 212220001002120 is an apocalyptic number.

12220001002120 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 12220001002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330357950400).

12220001002120 is an abundant number, since it is smaller than the sum of its proper divisors (18440714898680).

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

12220001002120 is a wasteful number, since it uses less digits than its factorization.

12220001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497927 (or 497923 counting only the distinct ones).

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

Adding to 12220001002120 its reverse (2120010002221), we get a palindrome (14340011004341).

The spelling of 12220001002120 in words is "twelve trillion, two hundred twenty billion, one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 1907 2584 3230 3814 6460 7628 9535 12920 15256 19070 32419 36233 38140 64838 72466 76280 129676 144932 162095 181165 259352 289864 324190 362330 495973 615961 648380 724660 991946 1231922 1296760 1449320 1983892 2463844 2479865 3079805 3967784 4927688 4959730 6159610 8431541 9423487 9919460 12319220 16863082 18846974 19838920 24638440 33726164 37693948 42157705 47117435 67452328 75387896 84315410 94234870 160199279 168630820 188469740 320398558 337261640 376939480 640797116 800996395 945820511 1281594232 1601992790 1891641022 3203985580 3783282044 4729102555 6407971160 7566564088 9458205110 16078948687 17970589709 18916410220 32157897374 35941179418 37832820440 64315794748 71882358836 80394743435 89852948545 128631589496 143764717672 160789486870 179705897090 305500025053 321578973740 359411794180 611000050106 643157947480 718823588360 1222000100212 1527500125265 2444000200424 3055000250530 6110000501060 12220001002120