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122211231120 = 243251147569577
BaseRepresentation
bin111000111010001011…
…0110110010110010000
3102200110002222210100100
41301310112312112100
54000242033343440
6132050522452400
711554336216236
oct1616426662620
9380402883310
10122211231120
1147914065860
121b828364100
13b6a834ba54
145cb4ca8956
1532a4190230
hex1c745b6590

122211231120 has 480 divisors, whose sum is σ = 458861345280. Its totient is φ = 28895477760.

The previous prime is 122211231113. The next prime is 122211231127. The reversal of 122211231120 is 21132112221.

122211231120 is a `hidden beast` number, since 1 + 222 + 112 + 311 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (122211231113) and next prime (122211231127).

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 = 122211231093 and 122211231102.

It is not an unprimeable number, because it can be changed into a prime (122211231127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211804272 + ... + 211804848.

It is an arithmetic number, because the mean of its divisors is an integer number (955961136).

Almost surely, 2122211231120 is an apocalyptic number.

122211231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122211231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229430672640).

122211231120 is an abundant number, since it is smaller than the sum of its proper divisors (336650114160).

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

122211231120 is a wasteful number, since it uses less digits than its factorization.

122211231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122211231120 its reverse (21132112221), we get a palindrome (143343343341).

The spelling of 122211231120 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred thirty-one thousand, one hundred twenty".