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121002121220121 = 32181568971305517
BaseRepresentation
bin11011100000110100000000…
…011100111101000000011001
3120212102200121212122121101200
4123200310000130331000121
5111324444321013020441
61105203335044304413
734326054236050341
oct3340640034750031
9525380555577350
10121002121220121
1135611790a01189
12116a30316a2109
1352695b3002c3b
1421c47690c7d21
15dec8222267b6
hex6e0d0073d019

121002121220121 has 24 divisors (see below), whose sum is σ = 175749705246024. Its totient is φ = 80220929402880.

The previous prime is 121002121220083. The next prime is 121002121220131. The reversal of 121002121220121 is 121022121200121.

121002121220121 is a `hidden beast` number, since 1 + 210 + 0 + 21 + 212 + 201 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44962657376400 + 76039463843721 = 6705420^2 + 8720061^2 .

It is not a de Polignac number, because 121002121220121 - 234 = 120984941350937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121002121220094 and 121002121220103.

It is not an unprimeable number, because it can be changed into a prime (121002121220131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92032455 + ... + 93337971.

It is an arithmetic number, because the mean of its divisors is an integer number (7322904385251).

Almost surely, 2121002121220121 is an apocalyptic number.

It is an amenable number.

121002121220121 is a deficient number, since it is larger than the sum of its proper divisors (54747584025903).

121002121220121 is a wasteful number, since it uses less digits than its factorization.

121002121220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362601 (or 1362598 counting only the distinct ones).

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

Adding to 121002121220121 its reverse (121022121200121), we get a palindrome (242024242420242).

The spelling of 121002121220121 in words is "one hundred twenty-one trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 181 543 1629 56897 170691 512073 1305517 3916551 10298357 11749653 30895071 92685213 236298577 708895731 2126687193 74280000749 222840002247 668520006741 13444680135569 40334040406707 121002121220121