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12023146540 = 22529106319501
BaseRepresentation
bin10110011001010001…
…01010100000101100
31011000220200010102201
423030220222200230
5144110411142130
65305013431244
7603642026236
oct131450524054
934026603381
1012023146540
11510a830a49
1223b663b524
131197baa1c2
14820b25256
154a57e3bca
hex2cca2a82c

12023146540 has 48 divisors (see below), whose sum is σ = 26145161280. Its totient is φ = 4638816000.

The previous prime is 12023146529. The next prime is 12023146567. The reversal of 12023146540 is 4564132021.

It is a junction number, because it is equal to n+sod(n) for n = 12023146499 and 12023146508.

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, 606790 + ... + 626290.

It is an arithmetic number, because the mean of its divisors is an integer number (544690860).

Almost surely, 212023146540 is an apocalyptic number.

12023146540 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 12023146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072580640).

12023146540 is an abundant number, since it is smaller than the sum of its proper divisors (14122014740).

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

12023146540 is a wasteful number, since it uses less digits than its factorization.

12023146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20602 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 12023146540 its reverse (4564132021), we get a palindrome (16587278561).

The spelling of 12023146540 in words is "twelve billion, twenty-three million, one hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1063 2126 4252 5315 10630 19501 21260 30827 39002 61654 78004 97505 123308 154135 195010 308270 390020 565529 616540 1131058 2262116 2827645 5655290 11310580 20729563 41459126 82918252 103647815 207295630 414591260 601157327 1202314654 2404629308 3005786635 6011573270 12023146540