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20121220000 = 255471011423
BaseRepresentation
bin10010101111010100…
…010111001110100000
31220221021121212211101
4102233110113032200
5312202013020000
613124335324144
71311423355660
oct225724271640
956837555741
1020121220000
1185959a4442
123a96680654
131b8883ac4b
14d8c43c1a0
157cb712e6a
hex4af5173a0

20121220000 has 240 divisors, whose sum is σ = 57173098752. Its totient is φ = 6825600000.

The previous prime is 20121219991. The next prime is 20121220027. The reversal of 20121220000 is 2212102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14139289 + ... + 14140711.

Almost surely, 220121220000 is an apocalyptic number.

20121220000 is a gapful number since it is divisible by the number (20) 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 20121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28586549376).

20121220000 is an abundant number, since it is smaller than the sum of its proper divisors (37051878752).

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

20121220000 is a wasteful number, since it uses less digits than its factorization.

20121220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1538 counting only the distinct ones).

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

Adding to 20121220000 its reverse (2212102), we get a palindrome (20123432102).

The spelling of 20121220000 in words is "twenty billion, one hundred twenty-one million, two hundred twenty thousand".