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122122022022 = 2327111313948761
BaseRepresentation
bin111000110111100001…
…0100010110010000110
3102200012220010111110200
41301233002202302012
54000101214201042
6132034014431330
711552204026350
oct1615702426206
9380186114420
10122122022022
1147878774730
121b802502546
13b692a15ac0
145ca70c60d0
15329b41cc4c
hex1c6f0a2c86

122122022022 has 192 divisors, whose sum is σ = 357827258880. Its totient is φ = 29068761600.

The previous prime is 122122021999. The next prime is 122122022027. The reversal of 122122022022 is 220220221221.

122122022022 is a `hidden beast` number, since 1 + 221 + 220 + 220 + 2 + 2 = 666.

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 = 122122021986 and 122122022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2480122 + ... + 2528882.

It is an arithmetic number, because the mean of its divisors is an integer number (1863683640).

Almost surely, 2122122022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178913629440).

122122022022 is an abundant number, since it is smaller than the sum of its proper divisors (235705236858).

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

122122022022 is a wasteful number, since it uses less digits than its factorization.

122122022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48939 (or 48936 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122122022022 its reverse (220220221221), we get a palindrome (342342243243).

It can be divided in two parts, 1221 and 22022022, that multiplied together give a palindrome (26888888862).

The spelling of 122122022022 in words is "one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, twenty-two".