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2220031212000 = 253537198316759
BaseRepresentation
bin100000010011100100001…
…010111111100111100000
321212020021210101112112020
4200103210022333213200
5242333110442241000
64415511313301440
7316251304643040
oct40234412774740
97766253345466
102220031212000
1178656781a048
122ba30bb64880
1313146a8689c4
147964305d720
153cb34cd5ba0
hex204e42bf9e0

2220031212000 has 768 divisors, whose sum is σ = 8855200972800. Its totient is φ = 474908313600.

The previous prime is 2220031211927. The next prime is 2220031212001. The reversal of 2220031212000 is 2121300222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220031212001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 132459621 + ... + 132476379.

It is an arithmetic number, because the mean of its divisors is an integer number (11530209600).

Almost surely, 22220031212000 is an apocalyptic number.

2220031212000 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 2220031212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427600486400).

2220031212000 is an abundant number, since it is smaller than the sum of its proper divisors (6635169760800).

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

2220031212000 is a wasteful number, since it uses less digits than its factorization.

2220031212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16896 (or 16878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220031212000 its reverse (2121300222), we get a palindrome (2222152512222).

The spelling of 2220031212000 in words is "two trillion, two hundred twenty billion, thirty-one million, two hundred twelve thousand".