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12010734424 = 23132912731357
BaseRepresentation
bin10110010111110010…
…10100001101011000
31011000001022112012201
423023321110031120
5144044222000144
65303451415544
7603431362303
oct131371241530
934001275181
1012010734424
1151038235a7
1223b24545b4
131195452760
1481d213b3a
154a46911d4
hex2cbe54358

12010734424 has 64 divisors (see below), whose sum is σ = 25287091200. Its totient is φ = 5309950464.

The previous prime is 12010734419. The next prime is 12010734451. The reversal of 12010734424 is 42443701021.

12010734424 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 2×120107344242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010734392 and 12010734401.

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, 367354 + ... + 398710.

It is an arithmetic number, because the mean of its divisors is an integer number (395110800).

Almost surely, 212010734424 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 12010734424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12643545600).

12010734424 is an abundant number, since it is smaller than the sum of its proper divisors (13276356776).

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

12010734424 is a wasteful number, since it uses less digits than its factorization.

12010734424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31532 (or 31528 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 12010734424 in words is "twelve billion, ten million, seven hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 127 232 254 377 508 754 1016 1508 1651 3016 3302 3683 6604 7366 13208 14732 29464 31357 47879 62714 95758 125428 191516 250856 383032 407641 815282 909353 1630564 1818706 3261128 3637412 3982339 7274824 7964678 11821589 15929356 23643178 31858712 47286356 51770407 94572712 103540814 115487831 207081628 230975662 414163256 461951324 923902648 1501341803 3002683606 6005367212 12010734424