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12012040000 = 2654300301
BaseRepresentation
bin10110010111111100…
…10010111101000000
31011000010202212010101
423023332102331000
5144100040240000
65303535412144
7603445440532
oct131376227500
934003685111
1012012040000
115104535494
1223b2984054
1311957bba9c
1481d473852
154a484ce6a
hex2cbf92f40

12012040000 has 70 divisors (see below), whose sum is σ = 29786054474. Its totient is φ = 4804800000.

The previous prime is 12012039997. The next prime is 12012040009. The reversal of 12012040000 is 4021021.

It can be written as a sum of positive squares in 5 ways, for example, as 6295470336 + 5716569664 = 79344^2 + 75608^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012040009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 110151 + ... + 190150.

Almost surely, 212012040000 is an apocalyptic number.

12012040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012040000 is an abundant number, since it is smaller than the sum of its proper divisors (17774014474).

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

12012040000 is an frugal number, since it uses more digits than its factorization.

12012040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300333 (or 300308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12012040000 its reverse (4021021), we get a palindrome (12016061021).

The spelling of 12012040000 in words is "twelve billion, twelve million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 300301 600602 1201204 1501505 2402408 3003010 4804816 6006020 7507525 9609632 12012040 15015050 19219264 24024080 30030100 37537625 48048160 60060200 75075250 96096320 120120400 150150500 187688125 240240800 300301000 375376250 480481600 600602000 750752500 1201204000 1501505000 2402408000 3003010000 6006020000 12012040000