Search a number
-
+
1220122102122 = 23371147151173239
BaseRepresentation
bin10001110000010100111…
…100011100100101101010
311022122100101222210212000
4101300110330130211222
5124442302224231442
62332303311031430
7154102522514550
oct21602474344552
94278311883760
101220122102122
114304a6133260
1217857450b576
138b098374301
14430a8b15bd0
1521b11524d4c
hex11c14f1c96a

1220122102122 has 512 divisors, whose sum is σ = 3509924659200. Its totient is φ = 305055072000.

The previous prime is 1220122102099. The next prime is 1220122102123. The reversal of 1220122102122 is 2212012210221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1220122102095 and 1220122102104.

It is not an unprimeable number, because it can be changed into a prime (1220122102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5105113279 + ... + 5105113517.

It is an arithmetic number, because the mean of its divisors is an integer number (6855321600).

Almost surely, 21220122102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220122102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754962329600).

1220122102122 is an abundant number, since it is smaller than the sum of its proper divisors (2289802557078).

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

1220122102122 is a wasteful number, since it uses less digits than its factorization.

1220122102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1220122102122 its reverse (2212012210221), we get a palindrome (3432134312343).

The spelling of 1220122102122 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-two".