Search a number
-
+
122011120022020 = 22515738857044593
BaseRepresentation
bin11011101111011111101101…
…011101111011001000000100
3121000000011000201220112101221
4123233133231131323020010
5111443012233211201040
61111255045034330124
734462004203260415
oct3357375535731004
9530004021815357
10122011120022020
113597069747a139
12118266a5289944
1353107a371c618
14221b52671380c
15e18bc89ce74a
hex6ef7ed77b204

122011120022020 has 24 divisors (see below), whose sum is σ = 257855347925784. Its totient is φ = 48493591650816.

The previous prime is 122011120021997. The next prime is 122011120022041. The reversal of 122011120022020 is 20220021110221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1977578437696 + 120033541584324 = 1406264^2 + 10955982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122011120021985 and 122011120022003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19428519157 + ... + 19428525436.

It is an arithmetic number, because the mean of its divisors is an integer number (10743972830241).

Almost surely, 2122011120022020 is an apocalyptic number.

122011120022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011120022020 is an abundant number, since it is smaller than the sum of its proper divisors (135844227903764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122011120022020 is a wasteful number, since it uses less digits than its factorization.

122011120022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38857044759 (or 38857044757 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122011120022020 its reverse (20220021110221), we get a palindrome (142231141132241).

The spelling of 122011120022020 in words is "one hundred twenty-two trillion, eleven billion, one hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 38857044593 77714089186 155428178372 194285222965 388570445930 777140891860 6100556001101 12201112002202 24402224004404 30502780005505 61005560011010 122011120022020