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120121222101021 = 32314310012604993
BaseRepresentation
bin11011010011111111100110…
…110001011111100000011101
3120202022110212111112210212200
4123103333212301133200131
5111221031230324213041
61103250532211122113
734205320602064251
oct3323774661374035
9522273774483780
10120121222101021
113530214035a979
121158036a2a3339
1352044c887602b
142193c8081a261
15dd4966a601b6
hex6d3fe6c5f81d

120121222101021 has 24 divisors (see below), whose sum is σ = 183270721810176. Its totient is φ = 75695293739520.

The previous prime is 120121222101007. The next prime is 120121222101091. The reversal of 120121222101021 is 120101222121021.

120121222101021 is a `hidden beast` number, since 1 + 201 + 212 + 221 + 0 + 10 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-120121222101021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120121222100985 and 120121222101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121222101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5006290500 + ... + 5006314493.

It is an arithmetic number, because the mean of its divisors is an integer number (7636280075424).

Almost surely, 2120121222101021 is an apocalyptic number.

It is an amenable number.

120121222101021 is a deficient number, since it is larger than the sum of its proper divisors (63149499709155).

120121222101021 is a wasteful number, since it uses less digits than its factorization.

120121222101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012605073 (or 10012605070 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120121222101021 its reverse (120101222121021), we get a palindrome (240222444222042).

The spelling of 120121222101021 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 31 43 93 129 279 387 1333 3999 11997 10012604993 30037814979 90113444937 310390754783 430542014699 931172264349 1291626044097 2793516793047 3874878132291 13346802455669 40040407367007 120121222101021