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12111972848 = 2479131193379
BaseRepresentation
bin10110100011110111…
…00000100111110000
31011021002210222012222
423101323200213300
5144301131112343
65321505340212
7606101033123
oct132173404760
934232728188
1012111972848
115155990518
122420337668
1311b040ab51
1482c8483ba
154ad4dca68
hex2d1ee09f0

12111972848 has 80 divisors (see below), whose sum is σ = 24132979200. Its totient is φ = 5887365120.

The previous prime is 12111972839. The next prime is 12111972863. The reversal of 12111972848 is 84827911121.

12111972848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121119728482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111972799 and 12111972808.

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 15 ways as a sum of consecutive naturals, for example, 31957523 + ... + 31957901.

It is an arithmetic number, because the mean of its divisors is an integer number (301662240).

Almost surely, 212111972848 is an apocalyptic number.

It is an amenable number.

12111972848 is a deficient number, since it is larger than the sum of its proper divisors (12021006352).

12111972848 is a wasteful number, since it uses less digits than its factorization.

12111972848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 64512, while the sum is 44.

The spelling of 12111972848 in words is "twelve billion, one hundred eleven million, nine hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 79 131 158 193 262 316 379 386 524 632 758 772 1048 1264 1516 1544 2096 3032 3088 6064 10349 15247 20698 25283 29941 30494 41396 49649 50566 59882 60988 73147 82792 99298 101132 119764 121976 146294 165584 198596 202264 239528 243952 292588 397192 404528 479056 585176 794384 1170352 1997357 3922271 3994714 5778613 7844542 7989428 9582257 11557226 15689084 15978856 19164514 23114452 31378168 31957712 38329028 46228904 62756336 76658056 92457808 153316112 756998303 1513996606 3027993212 6055986424 12111972848