Search a number
-
+
121211110020221 = 13157337176225813
BaseRepresentation
bin11011100011110110101001…
…001001111101010001111101
3120220011200001122221122112022
4123203312221021331101331
5111341410323131121341
61105443340515445525
734350133205410544
oct3343665111752175
9526150048848468
10121211110020221
11356923857039a1
12117176375b68a5
13528320a680630
1421d0912d0715b
15e02ea48b3e4b
hex6e3da927d47d

121211110020221 has 16 divisors (see below), whose sum is σ = 131756287191984. Its totient is φ = 110844625941504.

The previous prime is 121211110020191. The next prime is 121211110020223. The reversal of 121211110020221 is 122020011112121.

It can be written as a sum of positive squares in 8 ways, for example, as 2043430224196 + 119167679796025 = 1429486^2 + 10916395^2 .

It is not a de Polignac number, because 121211110020221 - 242 = 116813063509117 is a prime.

It is a super-2 number, since 2×1212111100202212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121211110020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211110020223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87425090 + ... + 88800723.

It is an arithmetic number, because the mean of its divisors is an integer number (8234767949499).

Almost surely, 2121211110020221 is an apocalyptic number.

It is an amenable number.

121211110020221 is a deficient number, since it is larger than the sum of its proper divisors (10545177171763).

121211110020221 is a wasteful number, since it uses less digits than its factorization.

121211110020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176226320.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121211110020221 its reverse (122020011112121), we get a palindrome (243231121132342).

The spelling of 121211110020221 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred ten million, twenty thousand, two hundred twenty-one".

Divisors: 1 13 157 337 2041 4381 52909 687817 176225813 2290935569 27667452641 59388098981 359676884333 772045286753 9323931540017 121211110020221