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2022112020000 = 25354314723131
BaseRepresentation
bin11101011011001111010…
…001001100011000100000
321011022102110111211222210
4131123033101030120200
5231112241134120000
64144540114202120
7266043551400462
oct35331721143040
97138373454883
102022112020000
1170a633578786
12287a95283340
131188b8677c87
146dc29470132
15378ee387350
hex1d6cf44c620

2022112020000 has 480 divisors, whose sum is σ = 6992878362624. Its totient is φ = 510710400000.

The previous prime is 2022112019959. The next prime is 2022112020007. The reversal of 2022112020000 is 202112202.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2022112020007) 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 79 ways as a sum of consecutive naturals, for example, 87408435 + ... + 87431565.

Almost surely, 22022112020000 is an apocalyptic number.

2022112020000 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 2022112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496439181312).

2022112020000 is an abundant number, since it is smaller than the sum of its proper divisors (4970766342624).

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

2022112020000 is a wasteful number, since it uses less digits than its factorization.

2022112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23242 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022112020000 its reverse (202112202), we get a palindrome (2022314132202).

The spelling of 2022112020000 in words is "two trillion, twenty-two billion, one hundred twelve million, twenty thousand".