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120022220222001 = 3299727073494069
BaseRepresentation
bin11011010010100011011001…
…110011010010111000110001
3120201222000022220001021012200
4123102203121303102320301
5111212421001334101001
61103133240301213413
734165214335022406
oct3322433163227061
9521860286037180
10120022220222001
1135274157384949
121156513a861269
1351c807ba96426
14218d16c1782ad
15dd20c0285086
hex6d28d9cd2e31

120022220222001 has 24 divisors (see below), whose sum is σ = 173546077609320. Its totient is φ = 79931443562496.

The previous prime is 120022220221921. The next prime is 120022220222017. The reversal of 120022220222001 is 100222022220021.

120022220222001 is a `hidden beast` number, since 1 + 20 + 0 + 222 + 202 + 220 + 0 + 1 = 666.

120022220222001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33174731582001 + 86847488640000 = 5759751^2 + 9319200^2 .

It is not a de Polignac number, because 120022220222001 - 237 = 119884781268529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120022220222101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242678995 + ... + 243173063.

It is an arithmetic number, because the mean of its divisors is an integer number (7231086567055).

Almost surely, 2120022220222001 is an apocalyptic number.

It is an amenable number.

120022220222001 is a deficient number, since it is larger than the sum of its proper divisors (53523857387319).

120022220222001 is a wasteful number, since it uses less digits than its factorization.

120022220222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522145 (or 522142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120022220222001 its reverse (100222022220021), we get a palindrome (220244242442022).

The spelling of 120022220222001 in words is "one hundred twenty trillion, twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 997 2991 8973 27073 81219 243657 494069 1482207 4446621 26991781 80975343 242926029 492586793 1477760379 4433281137 13375930037 40127790111 120383370333 13335802246889 40007406740667 120022220222001