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12000202120 = 235300005053
BaseRepresentation
bin10110010110100010…
…01000110110001000
31010222022111102121101
423023101020312020
5144034022431440
65302433551144
7603243015004
oct131321106610
933868442541
1012000202120
1150a888a515
1223aaa154b4
13119320581a
1481ba71704
154a37b069a
hex2cb448d88

12000202120 has 16 divisors (see below), whose sum is σ = 27000454860. Its totient is φ = 4800080832.

The previous prime is 12000202099. The next prime is 12000202121. The reversal of 12000202120 is 2120200021.

It can be written as a sum of positive squares in 2 ways, for example, as 11794394404 + 205807716 = 108602^2 + 14346^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12000202097 and 12000202106.

It is not an unprimeable number, because it can be changed into a prime (12000202121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150002487 + ... + 150002566.

Almost surely, 212000202120 is an apocalyptic number.

12000202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000202120 is an abundant number, since it is smaller than the sum of its proper divisors (15000252740).

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

12000202120 is a wasteful number, since it uses less digits than its factorization.

12000202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300005064 (or 300005060 counting only the distinct ones).

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

Adding to 12000202120 its reverse (2120200021), we get a palindrome (14120402141).

The spelling of 12000202120 in words is "twelve billion, two hundred two thousand, one hundred twenty".