Search a number
-
+
2022123120000 = 2735423336161
BaseRepresentation
bin11101011011001111111…
…011100010010110000000
321011022110020101210022220
4131123033323202112000
5231112302004320000
64144541152131040
7266044044631134
oct35331773422600
97138406353286
102022123120000
1170a63986a335
12287a98b36a80
131188baa63419
146dc2ab1d3c4
153790032b1a0
hex1d6cfee2580

2022123120000 has 320 divisors, whose sum is σ = 6740925150960. Its totient is φ = 536903680000.

The previous prime is 2022123119999. The next prime is 2022123120041. The reversal of 2022123120000 is 213212202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55901920 + ... + 55938080.

Almost surely, 22022123120000 is an apocalyptic number.

2022123120000 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 2022123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370462575480).

2022123120000 is an abundant number, since it is smaller than the sum of its proper divisors (4718802030960).

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

2022123120000 is an equidigital number, since it uses as much as digits as its factorization.

2022123120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36431 (or 36404 counting only the distinct ones).

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

Adding to 2022123120000 its reverse (213212202), we get a palindrome (2022336332202).

It can be divided in two parts, 2022123 and 120000, that multiplied together give a square (242654760000 = 4926002).

The spelling of 2022123120000 in words is "two trillion, twenty-two billion, one hundred twenty-three million, one hundred twenty thousand".