Search a number
-
+
20222223120000 = 2732541121112101
BaseRepresentation
bin1001001100100010110100…
…11011001111011010000000
32122121020002111110122201200
410212101122123033122000
510122310103104320000
6111001543330501200
74155002353254126
oct446213233173200
978536074418650
1020222223120000
116497218839210
122327251734800
13b38c41745755
144dca9199d916
1525105e30d500
hex12645a6cf680

20222223120000 has 960 divisors, whose sum is σ = 79709268244320. Its totient is φ = 4878720000000.

The previous prime is 20222223119999. The next prime is 20222223120049. The reversal of 20222223120000 is 2132222202.

20222223120000 is a `hidden beast` number, since 20 + 222 + 223 + 1 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1671113950 + ... + 1671126050.

Almost surely, 220222223120000 is an apocalyptic number.

20222223120000 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 20222223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39854634122160).

20222223120000 is an abundant number, since it is smaller than the sum of its proper divisors (59487045124320).

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

20222223120000 is a wasteful number, since it uses less digits than its factorization.

20222223120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12363 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20222223120000 its reverse (2132222202), we get a palindrome (20224355342202).

The spelling of 20222223120000 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty-three million, one hundred twenty thousand".