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120021200001 = 3229895166869
BaseRepresentation
bin110111111000111010…
…0100010110010000001
3102110210111001200102200
41233301310202302001
53431300411400001
6131045330503413
711446144236663
oct1576164426201
9373714050380
10120021200001
114699a924a8a
121b316a34b69
13b4196caa51
145b480a4533
1531c6c92086
hex1bf1d22c81

120021200001 has 24 divisors (see below), whose sum is σ = 181357137000. Its totient is φ = 76386976512.

The previous prime is 120021199951. The next prime is 120021200009. The reversal of 120021200001 is 100002120021.

It can be written as a sum of positive squares in 4 ways, for example, as 565250625 + 119455949376 = 23775^2 + 345624^2 .

It is not a de Polignac number, because 120021200001 - 26 = 120021199937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120021200009) 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, 2560206 + ... + 2606663.

It is an arithmetic number, because the mean of its divisors is an integer number (7556547375).

Almost surely, 2120021200001 is an apocalyptic number.

It is an amenable number.

120021200001 is a deficient number, since it is larger than the sum of its proper divisors (61335936999).

120021200001 is a wasteful number, since it uses less digits than its factorization.

120021200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166993 (or 5166990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120021200001 its reverse (100002120021), we get a palindrome (220023320022).

The spelling of 120021200001 in words is "one hundred twenty billion, twenty-one million, two hundred thousand, one".

Divisors: 1 3 9 29 87 89 261 267 801 2581 7743 23229 5166869 15500607 46501821 149839201 449517603 459851341 1348552809 1379554023 4138662069 13335688889 40007066667 120021200001