Search a number
-
+
2121112332000 = 2534536546643
BaseRepresentation
bin11110110111011100001…
…001011010011011100000
321111202221222001210010000
4132313130021122123200
5234223014224111000
64302231530340000
7306150066224634
oct36673411323340
97452858053100
102121112332000
11748616683452
122a310428a600
1312503502954c
147493b824dc4
153a295953000
hex1eddc25a6e0

2121112332000 has 240 divisors, whose sum is σ = 7785190485072. Its totient is φ = 565629868800.

The previous prime is 2121112331993. The next prime is 2121112332011. The reversal of 2121112332000 is 2332111212.

2121112332000 is a `hidden beast` number, since 21 + 211 + 1 + 233 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2949322 + ... + 3597321.

Almost surely, 22121112332000 is an apocalyptic number.

2121112332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121112332000 is an abundant number, since it is smaller than the sum of its proper divisors (5664078153072).

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

2121112332000 is an equidigital number, since it uses as much as digits as its factorization.

2121112332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6546680 (or 6546653 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121112332000 its reverse (2332111212), we get a palindrome (2123444443212).

The spelling of 2121112332000 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, three hundred thirty-two thousand".