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12225055608024 = 2337229358463981
BaseRepresentation
bin1011000111100101111000…
…0110001100110011011000
31121021201000010220112222020
42301321132012030303120
53100243403213424044
642000040224454440
72401142163063300
oct261713606146330
947251003815866
1012225055608024
113993687203176
12145536a47a420
136a8a8291510c
143039a55a0600
15163005d9da19
hexb1e5e18ccd8

12225055608024 has 96 divisors (see below), whose sum is σ = 36778404553200. Its totient is φ = 3372429123840.

The previous prime is 12225055607993. The next prime is 12225055608037. The reversal of 12225055608024 is 42080655052221.

It is a happy number.

12225055608024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179197887 + ... + 179266094.

Almost surely, 212225055608024 is an apocalyptic number.

12225055608024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12225055608024 is an abundant number, since it is smaller than the sum of its proper divisors (24553348945176).

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

12225055608024 is a wasteful number, since it uses less digits than its factorization.

12225055608024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358464033 (or 358464022 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 12225055608024 in words is "twelve trillion, two hundred twenty-five billion, fifty-five million, six hundred eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 11368 17052 34104 358463981 716927962 1075391943 1433855924 2150783886 2509247867 2867711848 4301567772 5018495734 7527743601 8603135544 10036991468 10395455449 15055487202 17564735069 20073982936 20790910898 30110974404 31186366347 35129470138 41581821796 52694205207 60221948808 62372732694 70258940276 72768188143 83163643592 105388410414 124745465388 140517880552 145536376286 210776820828 218304564429 249490930776 291072752572 421553641656 436609128858 509377317001 582145505144 873218257716 1018754634002 1528131951003 1746436515432 2037509268004 3056263902006 4075018536008 6112527804012 12225055608024