Search a number
-
+
2122000200000 = 263355392963
BaseRepresentation
bin11110111000010001000…
…100010111000101000000
321111212020211202011001000
4132320101010113011000
5234231324022400000
64302500004412000
7306211100044242
oct36702104270500
97455224664030
102122000200000
11748a3187985a
122a33116a7000
13125146c65b25
14749c3704092
153a2e8885000
hex1ee11117140

2122000200000 has 336 divisors, whose sum is σ = 7797380310720. Its totient is φ = 565865280000.

The previous prime is 2122000199983. The next prime is 2122000200011. The reversal of 2122000200000 is 20002212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5203519 + ... + 5596481.

It is an arithmetic number, because the mean of its divisors is an integer number (23206489020).

Almost surely, 22122000200000 is an apocalyptic number.

2122000200000 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 2122000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898690155360).

2122000200000 is an abundant number, since it is smaller than the sum of its proper divisors (5675380110720).

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

2122000200000 is an frugal number, since it uses more digits than its factorization.

2122000200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393009 (or 392973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2122000200000 its reverse (20002212), we get a palindrome (2122020202212).

The spelling of 2122000200000 in words is "two trillion, one hundred twenty-two billion, two hundred thousand".