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2212221120000 = 2935437611021
BaseRepresentation
bin100000001100010010101…
…001110110111000000000
321211111010111022202102120
4200030102221312320000
5242221112101320000
64412140320044240
7315553621155363
oct40142251667000
97744114282376
102212221120000
1178321a171361
122b88b0463680
131307c47884a8
1479101aac0da
153c8292ee6a0
hex20312a76e00

2212221120000 has 800 divisors, whose sum is σ = 7695074712864. Its totient is φ = 564019200000.

The previous prime is 2212221119971. The next prime is 2212221120001. The reversal of 2212221120000 is 211222122.

It is a tau number, because it is divible by the number of its divisors (800).

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 (2212221120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2166719490 + ... + 2166720510.

Almost surely, 22212221120000 is an apocalyptic number.

2212221120000 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 2212221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847537356432).

2212221120000 is an abundant number, since it is smaller than the sum of its proper divisors (5482853592864).

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

2212221120000 is an equidigital number, since it uses as much as digits as its factorization.

2212221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2212221120000 its reverse (211222122), we get a palindrome (2212432342122).

The spelling of 2212221120000 in words is "two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand".