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12010402000 = 24536005201
BaseRepresentation
bin10110010111110000…
…00011000011010000
31011000000200122012201
423023320003003100
5144044130331000
65303440332544
7603425506162
oct131370030320
934000618181
1012010402000
115103616873
1223b2314154
13119536735c
1481d168932
154a462796a
hex2cbe030d0

12010402000 has 40 divisors (see below), whose sum is σ = 29041156872. Its totient is φ = 4804160000.

The previous prime is 12010401973. The next prime is 12010402003. The reversal of 12010402000 is 20401021.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 12002517136 = 2808^2 + 109556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (12010402003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3000601 + ... + 3004600.

Almost surely, 212010402000 is an apocalyptic number.

12010402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010402000 is an abundant number, since it is smaller than the sum of its proper divisors (17030754872).

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

12010402000 is an equidigital number, since it uses as much as digits as its factorization.

12010402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005224 (or 6005208 counting only the distinct ones).

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

Adding to 12010402000 its reverse (20401021), we get a palindrome (12030803021).

The spelling of 12010402000 in words is "twelve billion, ten million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6005201 12010402 24020804 30026005 48041608 60052010 96083216 120104020 150130025 240208040 300260050 480416080 600520100 750650125 1201040200 1501300250 2402080400 3002600500 6005201000 12010402000