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212020223130000 = 24325410123324557
BaseRepresentation
bin110000001101010011001110…
…000101011011100110010000
31000210200221020220002121102200
4300031103032011123212100
5210242214404110130000
62030532425035243200
762441645531154645
oct6015231605334620
91023627226077380
10212020223130000
11616132a966802a
121b942b338a9500
13913c56264b67c
143a4db953abdcc
15197a1ec603500
hexc0d4ce15b990

212020223130000 has 300 divisors, whose sum is σ = 748806618576588. Its totient is φ = 55978934400000.

The previous prime is 212020223129993. The next prime is 212020223130047. The reversal of 212020223130000 is 31322020212.

212020223130000 is a `hidden beast` number, since 2 + 120 + 20 + 223 + 1 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 113923004534784 + 98097218595216 = 10673472^2 + 9904404^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 2572279 + ... + 20752278.

Almost surely, 2212020223130000 is an apocalyptic number.

212020223130000 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 212020223130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374403309288294).

212020223130000 is an abundant number, since it is smaller than the sum of its proper divisors (536786395446588).

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

212020223130000 is a wasteful number, since it uses less digits than its factorization.

212020223130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23324692 (or 23324668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212020223130000 its reverse (31322020212), we get a palindrome (212051545150212).

The spelling of 212020223130000 in words is "two hundred twelve trillion, twenty billion, two hundred twenty-three million, one hundred thirty thousand".