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12013445000 = 235410123789
BaseRepresentation
bin10110011000000111…
…01001111110001000
31011000020102020102102
423030003221332020
5144100420220000
65304025452532
7603463411664
oct131403517610
934006366372
1012013445000
115105305047
1223b3341148
131195b9144b
1481d71b8a4
154a4a293d5
hex2cc0e9f88

12013445000 has 80 divisors (see below), whose sum is σ = 28427384700. Its totient is φ = 4757600000.

The previous prime is 12013444991. The next prime is 12013445033. The reversal of 12013445000 is 54431021.

It can be written as a sum of positive squares in 10 ways, for example, as 329132164 + 11684312836 = 18142^2 + 108094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 493106 + ... + 516894.

Almost surely, 212013445000 is an apocalyptic number.

12013445000 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 12013445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213692350).

12013445000 is an abundant number, since it is smaller than the sum of its proper divisors (16413939700).

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

12013445000 is a wasteful number, since it uses less digits than its factorization.

12013445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12013445000 its reverse (54431021), we get a palindrome (12067876021).

The spelling of 12013445000 in words is "twelve billion, thirteen million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 4040 5000 5050 10100 12625 20200 23789 25250 47578 50500 63125 95156 101000 118945 126250 190312 237890 252500 475780 505000 594725 951560 1189450 2378900 2402689 2973625 4757800 4805378 5947250 9610756 11894500 12013445 14868125 19221512 23789000 24026890 29736250 48053780 59472500 60067225 96107560 118945000 120134450 240268900 300336125 480537800 600672250 1201344500 1501680625 2402689000 3003361250 6006722500 12013445000