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12124020040 = 2351131786923
BaseRepresentation
bin10110100101010010…
…11101110101001000
31011021221111000212021
423102221131311020
5144312222120130
65323015454224
7606305320126
oct132251356510
934257430767
1012124020040
115161769780
122424387374
1311b2a68472
148302a2916
154ae5bc37a
hex2d2a5dd48

12124020040 has 64 divisors (see below), whose sum is σ = 29853178560. Its totient is φ = 4394776320.

The previous prime is 12124019993. The next prime is 12124020043. The reversal of 12124020040 is 4002042121.

12124020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12124019996 and 12124020023.

It is not an unprimeable number, because it can be changed into a prime (12124020043) by changing a digit.

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, 96019 + ... + 182941.

It is an arithmetic number, because the mean of its divisors is an integer number (466455915).

Almost surely, 212124020040 is an apocalyptic number.

12124020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926589280).

12124020040 is an abundant number, since it is smaller than the sum of its proper divisors (17729158520).

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

12124020040 is a wasteful number, since it uses less digits than its factorization.

12124020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87262 (or 87258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12124020040 its reverse (4002042121), we get a palindrome (16126062161).

The spelling of 12124020040 in words is "twelve billion, one hundred twenty-four million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 317 440 634 1268 1585 2536 3170 3487 6340 6974 12680 13948 17435 27896 34870 69740 86923 139480 173846 347692 434615 695384 869230 956153 1738460 1912306 3476920 3824612 4780765 7649224 9561530 19123060 27554591 38246120 55109182 110218364 137772955 220436728 275545910 303100501 551091820 606201002 1102183640 1212402004 1515502505 2424804008 3031005010 6062010020 12124020040