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1201202002001 = 3753613399877
BaseRepresentation
bin10001011110101101001…
…101111111100001010001
311020211111211111010202002
4101132231031333201101
5124140030203031001
62315454035403345
7152532622360031
oct21365515774121
94224454433662
101201202002001
1142347723aa81
12174974153555
13893716304b1
14421d20198c1
15213a54be46b
hex117ad37f851

1201202002001 has 16 divisors (see below), whose sum is σ = 1257161189904. Its totient is φ = 1146486991104.

The previous prime is 1201202001973. The next prime is 1201202002009. The reversal of 1201202002001 is 1002002021021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 600352230976 + 600849771025 = 774824^2 + 775145^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201202002001 - 226 = 1201134893137 is a prime.

It is a super-2 number, since 2×12012020020012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1201202002009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11976875 + ... + 12076751.

It is an arithmetic number, because the mean of its divisors is an integer number (78572574369).

Almost surely, 21201202002001 is an apocalyptic number.

It is an amenable number.

1201202002001 is a deficient number, since it is larger than the sum of its proper divisors (55959187903).

1201202002001 is an equidigital number, since it uses as much as digits as its factorization.

1201202002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106100.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1201202002001 its reverse (1002002021021), we get a palindrome (2203204023022).

The spelling of 1201202002001 in words is "one trillion, two hundred one billion, two hundred two million, two thousand, one".

Divisors: 1 37 53 1961 6133 99877 226921 325049 3695449 5293481 12026813 195858797 612545641 22664188717 32464918973 1201202002001