Search a number
-
+
120021221112111 = 321136712792582773
BaseRepresentation
bin11011010010100010011110…
…001111111111100100101111
3120201221220202021001020002200
4123102202132033333210233
5111212411430101041421
61103132553210552543
734165150513516524
oct3322423617774457
9521856667036080
10120021221112111
11352737944098a0
1211564b00138753
1351c7c4caab447
14218d0b55bd14b
15dd20626cc726
hex6d289e3ff92f

120021221112111 has 48 divisors (see below), whose sum is σ = 189788018933760. Its totient is φ = 72485186247360.

The previous prime is 120021221112053. The next prime is 120021221112127. The reversal of 120021221112111 is 111211122120021.

It is a happy number.

120021221112111 is a `hidden beast` number, since 1 + 200 + 21 + 221 + 11 + 211 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-120021221112111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021221112151) 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 47 ways as a sum of consecutive naturals, for example, 45178521 + ... + 47761293.

It is an arithmetic number, because the mean of its divisors is an integer number (3953917061120).

Almost surely, 2120021221112111 is an apocalyptic number.

120021221112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120021221112111 is a deficient number, since it is larger than the sum of its proper divisors (69766797821649).

120021221112111 is a wasteful number, since it uses less digits than its factorization.

120021221112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584436 (or 2584433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120021221112111 its reverse (111211122120021), we get a palindrome (231232343232132).

The spelling of 120021221112111 in words is "one hundred twenty trillion, twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 367 1101 1279 3303 3837 4037 11511 12111 14069 36333 42207 126621 469393 1408179 2582773 4224537 5163323 7748319 15489969 23244957 28410503 46469907 85231509 255694527 947877691 2843633073 3303366667 8530899219 9910100001 10426654601 29730300003 31279963803 36337033337 93839891409 109011100011 327033300033 1212335566789 3637006700367 10911020101101 13335691234679 40007073704037 120021221112111