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200120122211985 = 32517581252949993
BaseRepresentation
bin101101100000001000011000…
…110010111111111010010001
3222020120022000101202200101200
4231200020120302333322101
5202212232002241240420
61545341525345221413
760103126120263213
oct5540103062777221
9866508011680350
10200120122211985
1158845515960108
121a540754031869
138788328895c21
14375bc192a05b3
1518208b4b35b90
hexb60218cbfe91

200120122211985 has 24 divisors (see below), whose sum is σ = 346894609971624. Its totient is φ = 106724660624640.

The previous prime is 200120122211953. The next prime is 200120122212037. The reversal of 200120122211985 is 589112221021002.

200120122211985 is a `hidden beast` number, since 200 + 120 + 122 + 21 + 198 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7828540990209 + 192291581221776 = 2797953^2 + 13866924^2 .

It is not a de Polignac number, because 200120122211985 - 25 = 200120122211953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125683852 + ... + 127266141.

It is an arithmetic number, because the mean of its divisors is an integer number (14453942082151).

Almost surely, 2200120122211985 is an apocalyptic number.

It is an amenable number.

200120122211985 is a deficient number, since it is larger than the sum of its proper divisors (146774487759639).

200120122211985 is a wasteful number, since it uses less digits than its factorization.

200120122211985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252967585 (or 252967582 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 200120122211985 its reverse (589112221021002), we get a palindrome (789232343232987).

The spelling of 200120122211985 in words is "two hundred trillion, one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 17581 52743 87905 158229 263715 791145 252949993 758849979 1264749965 2276549937 3794249895 11382749685 4447113826933 13341341480799 22235569134665 40024024442397 66706707403995 200120122211985