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122020022210022 = 232107362931745629
BaseRepresentation
bin11011101111101000000000…
…000101000100110111100110
3121000001000000010221112120200
4123233220000011010313212
5111443134001141210042
61111303120243211330
734462440620521326
oct3357500005046746
9530030003845520
10122020022210022
1135974445533802
121182836a676b46
135311591b43ca1
14221bb2cb47286
15e1904a2d9c4c
hex6efa00144de6

122020022210022 has 48 divisors (see below), whose sum is σ = 266855030666640. Its totient is φ = 40292082755136.

The previous prime is 122020022209997. The next prime is 122020022210027. The reversal of 122020022210022 is 220012220020221.

122020022210022 is a `hidden beast` number, since 1 + 220 + 200 + 2 + 221 + 0 + 0 + 22 = 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 = 122020022209977 and 122020022210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020022210027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69027504 + ... + 70773132.

It is an arithmetic number, because the mean of its divisors is an integer number (5559479805555).

Almost surely, 2122020022210022 is an apocalyptic number.

122020022210022 is an abundant number, since it is smaller than the sum of its proper divisors (144835008456618).

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

122020022210022 is a wasteful number, since it uses less digits than its factorization.

122020022210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782037 (or 1782034 counting only the distinct ones).

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

Adding to 122020022210022 its reverse (220012220020221), we get a palindrome (342032242230243).

The spelling of 122020022210022 in words is "one hundred twenty-two trillion, twenty billion, twenty-two million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 36293 72586 108879 217758 326637 653274 1745629 3491258 3883351 5236887 7766702 10473774 11650053 15710661 23300106 31421322 34950159 69900318 186782303 373564606 560346909 1120693818 1681040727 3362081454 63354113297 126708226594 190062339891 380124679782 570187019673 1140374039346 6778890122779 13557780245558 20336670368337 40673340736674 61010011105011 122020022210022