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12020022000 = 243353731799
BaseRepresentation
bin10110011000111001…
…01111101011110000
31011000200210101101000
423030130233223300
5144104111201000
65304422442000
7603603333630
oct131434575360
934020711330
1012020022000
115108a97488
1223b5593300
131197354c6c
148205506c0
154a53c8000
hex2cc72faf0

12020022000 has 320 divisors, whose sum is σ = 49211136000. Its totient is φ = 2747347200.

The previous prime is 12020021963. The next prime is 12020022031. The reversal of 12020022000 is 22002021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362101 + ... + 393899.

It is an arithmetic number, because the mean of its divisors is an integer number (153784800).

Almost surely, 212020022000 is an apocalyptic number.

12020022000 is a gapful number since it is divisible by the number (10) 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 12020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605568000).

12020022000 is an abundant number, since it is smaller than the sum of its proper divisors (37191114000).

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

12020022000 is a wasteful number, since it uses less digits than its factorization.

12020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31838 (or 31816 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12020022000 its reverse (22002021), we get a palindrome (12042024021).

The spelling of 12020022000 in words is "twelve billion, twenty million, twenty-two thousand".