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12245450112 = 273271518533
BaseRepresentation
bin10110110011110001…
…01011110110000000
31011121101222022121100
423121320223312000
5200034313400422
65343034254400
7612311415510
oct133170536600
934541868540
1012245450112
115214267a05
122458b87400
131201c7328c
14842471840
154ba0a67ac
hex2d9e2bd80

12245450112 has 96 divisors (see below), whose sum is σ = 40271521680. Its totient is φ = 3498697728.

The previous prime is 12245450101. The next prime is 12245450123. The reversal of 12245450112 is 21105454221.

It is a happy number.

12245450112 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 545 + 0 + 112 = 666.

12245450112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12245450101) and next prime (12245450123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751203 + ... + 767330.

Almost surely, 212245450112 is an apocalyptic number.

12245450112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12245450112 is an abundant number, since it is smaller than the sum of its proper divisors (28026071568).

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

12245450112 is a wasteful number, since it uses less digits than its factorization.

12245450112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518560 (or 1518545 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12245450112 in words is "twelve billion, two hundred forty-five million, four hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1518533 3037066 4555599 6074132 9111198 10629731 12148264 13666797 18222396 21259462 24296528 27333594 31889193 36444792 42518924 48593056 54667188 63778386 72889584 85037848 95667579 97186112 109334376 127556772 145779168 170075696 191335158 194372224 218668752 255113544 291558336 340151392 382670316 437337504 510227088 583116672 680302784 765340632 874675008 1020454176 1360605568 1530681264 1749350016 2040908352 3061362528 4081816704 6122725056 12245450112