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12124778320 = 245364341603
BaseRepresentation
bin10110100101011000…
…10110111101010000
31011021222220120000201
423102230112331100
5144312420401240
65323044024544
7606314625634
oct132254267520
934258816021
1012124778320
115162137456
122424692154
1311b2c72655
1483041cdc4
154ae6bbd9a
hex2d2b16f50

12124778320 has 40 divisors (see below), whose sum is σ = 28198525536. Its totient is φ = 4848463488.

The previous prime is 12124778317. The next prime is 12124778333. The reversal of 12124778320 is 2387742121.

12124778320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12124778320.

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 7 ways as a sum of consecutive naturals, for example, 270639 + ... + 312241.

Almost surely, 212124778320 is an apocalyptic number.

12124778320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124778320 is an abundant number, since it is smaller than the sum of its proper divisors (16073747216).

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

12124778320 is a wasteful number, since it uses less digits than its factorization.

12124778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45259 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 12124778320 in words is "twelve billion, one hundred twenty-four million, seven hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3643 7286 14572 18215 29144 36430 41603 58288 72860 83206 145720 166412 208015 291440 332824 416030 665648 832060 1664120 3328240 151559729 303119458 606238916 757798645 1212477832 1515597290 2424955664 3031194580 6062389160 12124778320