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120211333121 = 11107827123499
BaseRepresentation
bin110111111110100100…
…1110110000000000001
3102111021201211110001002
41233331021312000001
53432143100124441
6131120242021345
711453643320645
oct1577511660001
9374251743032
10120211333121
1146a881888a0
121b36a647855
13b449c0bc59
145b65438c25
1531d87ecb9b
hex1bfd276001

120211333121 has 16 divisors (see below), whose sum is σ = 132526368000. Its totient is φ = 108129908880.

The previous prime is 120211333097. The next prime is 120211333153. The reversal of 120211333121 is 121333112021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120211333121 - 218 = 120211070977 is a prime.

It is a super-2 number, since 2×1202113331212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120211333093 and 120211333102.

It is not an unprimeable number, because it can be changed into a prime (120211333421) 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, 911630 + ... + 1035128.

It is an arithmetic number, because the mean of its divisors is an integer number (8282898000).

Almost surely, 2120211333121 is an apocalyptic number.

120211333121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120211333121 is a deficient number, since it is larger than the sum of its proper divisors (12315034879).

120211333121 is a wasteful number, since it uses less digits than its factorization.

120211333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124444.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120211333121 its reverse (121333112021), we get a palindrome (241544445142).

The spelling of 120211333121 in words is "one hundred twenty billion, two hundred eleven million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 11 107 827 1177 9097 88489 123499 973379 1358489 13214393 102133673 145358323 1123470403 10928303011 120211333121