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1224414134112 = 25313275469313
BaseRepresentation
bin10001110100010100110…
…001001111111101100000
311100001102112012121212210
4101310110301033331200
5130030100004242422
62334253232122120
7154314060263421
oct21642461177540
94301375177783
101224414134112
114322a8949434
12179371996340
138b600633b00
1443394b67648
1521cb323310c
hex11d14c4ff60

1224414134112 has 72 divisors (see below), whose sum is σ = 3480342884424. Its totient is φ = 376742805504.

The previous prime is 1224414134087. The next prime is 1224414134171. The reversal of 1224414134112 is 2114314144221.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1224414134112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37718433 + ... + 37750880.

It is an arithmetic number, because the mean of its divisors is an integer number (48338095617).

Almost surely, 21224414134112 is an apocalyptic number.

1224414134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1224414134112 is an abundant number, since it is smaller than the sum of its proper divisors (2255928750312).

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

1224414134112 is a wasteful number, since it uses less digits than its factorization.

1224414134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75469352 (or 75469331 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 1224414134112 its reverse (2114314144221), we get a palindrome (3338728278333).

The spelling of 1224414134112 in words is "one trillion, two hundred twenty-four billion, four hundred fourteen million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 75469313 150938626 226407939 301877252 452815878 603754504 905631756 981101069 1207509008 1811263512 1962202138 2415018016 2943303207 3622527024 3924404276 5886606414 7245054048 7848808552 11773212828 12754313897 15697617104 23546425656 25508627794 31395234208 38262941691 47092851312 51017255588 76525883382 94185702624 102034511176 153051766764 204069022352 306103533528 408138044704 612207067056 1224414134112