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12123421024 = 2511134795531
BaseRepresentation
bin10110100101001110…
…01011100101100000
31011021220100121011111
423102213023211200
5144312043433044
65322554553104
7606300243541
oct132247134540
934256317144
1012123421024
11516139a720
122424138794
1311b28b8910
148301884c8
154ae4eeb34
hex2d29cb960

12123421024 has 96 divisors (see below), whose sum is σ = 28104330240. Its totient is φ = 5075212800.

The previous prime is 12123421019. The next prime is 12123421099. The reversal of 12123421024 is 42012432121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12123420986 and 12123421004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2189139 + ... + 2194669.

It is an arithmetic number, because the mean of its divisors is an integer number (292753440).

Almost surely, 212123421024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052165120).

12123421024 is an abundant number, since it is smaller than the sum of its proper divisors (15980909216).

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

12123421024 is a wasteful number, since it uses less digits than its factorization.

12123421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12123421024 its reverse (42012432121), we get a palindrome (54135853145).

The spelling of 12123421024 in words is "twelve billion, one hundred twenty-three million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 479 572 958 1144 1916 2288 3832 4576 5269 5531 6227 7664 10538 11062 12454 15328 21076 22124 24908 42152 44248 49816 60841 68497 71903 84304 88496 99632 121682 136994 143806 168608 176992 199264 243364 273988 287612 486728 547976 575224 790933 973456 1095952 1150448 1581866 1946912 2191904 2300896 2649349 3163732 5298698 6327464 10597396 12654928 21194792 25309856 29142839 34441537 42389584 58285678 68883074 84779168 116571356 137766148 233142712 275532296 378856907 466285424 551064592 757713814 932570848 1102129184 1515427628 3030855256 6061710512 12123421024