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122110222120121 = 4731770111691679
BaseRepresentation
bin11011110000111100000000…
…011010011011010010111001
3121000100121211022222201210202
4123300330000122123102321
5112001123213330320441
61111412354524251545
734502113065226214
oct3360740032332271
9530317738881722
10122110222120121
11359a9721a86254
12118419423a0bb5
135319c381bb661
14222224840277b
15e1b578ea419b
hex6f0f0069b4b9

122110222120121 has 16 divisors (see below), whose sum is σ = 125280186071040. Its totient is φ = 118965161985600.

The previous prime is 122110222120111. The next prime is 122110222120207. The reversal of 122110222120121 is 121021222011221.

It is a cyclic number.

It is not a de Polignac number, because 122110222120121 - 26 = 122110222120057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122110222120093 and 122110222120102.

It is not an unprimeable number, because it can be changed into a prime (122110222120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4598360 + ... + 16290038.

It is an arithmetic number, because the mean of its divisors is an integer number (7830011629440).

Almost surely, 2122110222120121 is an apocalyptic number.

It is an amenable number.

122110222120121 is a deficient number, since it is larger than the sum of its proper divisors (3169963950919).

122110222120121 is a wasteful number, since it uses less digits than its factorization.

122110222120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692744.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122110222120121 its reverse (121021222011221), we get a palindrome (243131444131342).

The spelling of 122110222120121 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 47 317 701 14899 32947 222217 10444199 11691679 549508913 3706262243 8195866979 174194325421 385205748013 2598089832343 122110222120121