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1223002010112 = 2931946390511
BaseRepresentation
bin10001110011000000100…
…110011011001000000000
311022220210010001021220220
4101303000212123020000
5130014202003310422
62333501145303040
7154234062364011
oct21630046331000
94286703037826
101223002010112
11431743829803
12179038a94a80
138b436bcba8c
144329d3bb008
1521c2e295e5c
hex11cc099b200

1223002010112 has 160 divisors (see below), whose sum is σ = 3437080965120. Its totient is φ = 385372753920.

The previous prime is 1223002010077. The next prime is 1223002010149. The reversal of 1223002010112 is 2110102003221.

It is a junction number, because it is equal to n+sod(n) for n = 1223002010091 and 1223002010100.

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, 13466937 + ... + 13557447.

It is an arithmetic number, because the mean of its divisors is an integer number (21481756032).

Almost surely, 21223002010112 is an apocalyptic number.

1223002010112 is a gapful number since it is divisible by the number (12) 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 1223002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718540482560).

1223002010112 is an abundant number, since it is smaller than the sum of its proper divisors (2214078955008).

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

1223002010112 is an equidigital number, since it uses as much as digits as its factorization.

1223002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91014 (or 90998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1223002010112 its reverse (2110102003221), we get a palindrome (3333104013333).

The spelling of 1223002010112 in words is "one trillion, two hundred twenty-three billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 463 512 608 768 912 926 1216 1389 1536 1824 1852 2432 2778 3648 3704 4864 5556 7296 7408 8797 9728 11112 14592 14816 17594 22224 26391 29184 29632 35188 44448 52782 59264 70376 88896 90511 105564 118528 140752 177792 181022 211128 237056 271533 281504 355584 362044 422256 543066 563008 711168 724088 844512 1086132 1126016 1448176 1689024 1719709 2172264 2252032 2896352 3378048 3439418 4344528 4504064 5159127 5792704 6756096 6878836 8689056 10318254 11585408 13512192 13757672 17378112 20636508 23170816 27515344 34756224 41273016 41906593 46341632 55030688 69512448 82546032 83813186 110061376 125719779 139024896 165092064 167626372 220122752 251439558 330184128 335252744 440245504 502879116 660368256 670505488 796225267 880491008 1005758232 1320736512 1341010976 1592450534 2011516464 2388675801 2641473024 2682021952 3184901068 4023032928 4777351602 5364043904 6369802136 8046065856 9554703204 10728087808 12739604272 16092131712 19109406408 21456175616 25479208544 32184263424 38218812816 50958417088 64368526848 76437625632 101916834176 152875251264 203833668352 305750502528 407667336704 611501005056 1223002010112