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20121202000 = 245310060601
BaseRepresentation
bin10010101111010100…
…010010110101010000
31220221021120222010201
4102233110102311100
5312202011431000
613124335104544
71311423252334
oct225724226520
956837528121
1020121202000
118595991969
123a96672154
131b888329b3
14d8c4357c4
157cb70c96a
hex4af512d50

20121202000 has 40 divisors (see below), whose sum is σ = 48653071272. Its totient is φ = 8048480000.

The previous prime is 20121201983. The next prime is 20121202001. The reversal of 20121202000 is 20212102.

It can be written as a sum of positive squares in 4 ways, for example, as 71774784 + 20049427216 = 8472^2 + 141596^2 .

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 (20121202001) 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, 5028301 + ... + 5032300.

Almost surely, 220121202000 is an apocalyptic number.

20121202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121202000 is an abundant number, since it is smaller than the sum of its proper divisors (28531869272).

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

20121202000 is a wasteful number, since it uses less digits than its factorization.

20121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060624 (or 10060608 counting only the distinct ones).

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

Adding to 20121202000 its reverse (20212102), we get a palindrome (20141414102).

The spelling of 20121202000 in words is "twenty billion, one hundred twenty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10060601 20121202 40242404 50303005 80484808 100606010 160969616 201212020 251515025 402424040 503030050 804848080 1006060100 1257575125 2012120200 2515150250 4024240400 5030300500 10060601000 20121202000