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2112021221200 = 24521110110346141
BaseRepresentation
bin11110101110111110010…
…001100100111101010000
321110220111101112111120121
4132232332101210331100
5234100404413034300
64254125452320024
7305405566113502
oct36567621447520
97426441474517
102112021221200
11744780a12340
122a13a7773014
13124216728847
1474318293d72
1539e1277a81a
hex1ebbe464f50

2112021221200 has 240 divisors, whose sum is σ = 5644618042752. Its totient is φ = 753004800000.

The previous prime is 2112021221183. The next prime is 2112021221227. The reversal of 2112021221200 is 21221202112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45750130 + ... + 45796270.

Almost surely, 22112021221200 is an apocalyptic number.

2112021221200 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 2112021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822309021376).

2112021221200 is an abundant number, since it is smaller than the sum of its proper divisors (3532596821552).

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

2112021221200 is a wasteful number, since it uses less digits than its factorization.

2112021221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46374 (or 46363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2112021221200 its reverse (21221202112), we get a palindrome (2133242423312).

The spelling of 2112021221200 in words is "two trillion, one hundred twelve billion, twenty-one million, two hundred twenty-one thousand, two hundred".