Search a number
-
+
122021121222 = 2337111312131861
BaseRepresentation
bin111000110100100000…
…1101000110011000110
3102122221212021012121000
41301221001220303012
53444344401334342
6132020012034130
711546540263050
oct1615101506306
9378855235530
10122021121222
1147826818440
121b794762946
13b677b482a0
145c9793c8d0
15329263b44c
hex1c69068cc6

122021121222 has 256 divisors, whose sum is σ = 364568279040. Its totient is φ = 29215987200.

The previous prime is 122021121193. The next prime is 122021121281. The reversal of 122021121222 is 222121120221.

It is a happy number.

122021121222 is a `hidden beast` number, since 1 + 220 + 211 + 212 + 22 = 666.

It is a super-4 number, since 4×1220211212224 (a number of 45 digits) contains 4444 as substring.

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 = 122021121195 and 122021121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65566572 + ... + 65568432.

It is an arithmetic number, because the mean of its divisors is an integer number (1424094840).

Almost surely, 2122021121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182284139520).

122021121222 is an abundant number, since it is smaller than the sum of its proper divisors (242547157818).

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

122021121222 is a wasteful number, since it uses less digits than its factorization.

122021121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3110 counting only the distinct ones).

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

Adding to 122021121222 its reverse (222121120221), we get a palindrome (344142241443).

The spelling of 122021121222 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, two hundred twenty-two".