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120100011201 = 3374316573613
BaseRepresentation
bin110111111011010000…
…1001011110011000001
3102110222222100201002000
41233312201023303001
53431431100324301
6131101224014213
711451122152152
oct1576641136301
9373888321060
10120100011201
1146a30364005
121b339301369
13b42cb32cb1
145b5473b929
1531cdb5d786
hex1bf684bcc1

120100011201 has 32 divisors (see below), whose sum is σ = 178322277120. Its totient is φ = 79888540032.

The previous prime is 120100011169. The next prime is 120100011217. The reversal of 120100011201 is 102110001021.

It is a happy number.

It is not a de Polignac number, because 120100011201 - 25 = 120100011169 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 (120100011601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33239271 + ... + 33242883.

It is an arithmetic number, because the mean of its divisors is an integer number (5572571160).

Almost surely, 2120100011201 is an apocalyptic number.

It is an amenable number.

120100011201 is a deficient number, since it is larger than the sum of its proper divisors (58222265919).

120100011201 is a wasteful number, since it uses less digits than its factorization.

120100011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100011201 its reverse (102110001021), we get a palindrome (222210012222).

It can be divided in two parts, 1201000 and 11201, that added together give a square (1212201 = 11012).

The spelling of 120100011201 in words is "one hundred twenty billion, one hundred million, eleven thousand, two hundred one".

Divisors: 1 3 9 27 743 1657 2229 3613 4971 6687 10839 14913 20061 32517 44739 97551 1231151 2684459 3693453 5986741 8053377 11080359 17960223 24160131 33241077 53880669 72480393 161642007 4448148563 13344445689 40033337067 120100011201