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1022122122120 = 2332511277931811
BaseRepresentation
bin11101101111110110011…
…10011101101110001000
310121201021110002200000100
432313323032131232020
5113221301230401440
62101320104205400
7133563065454621
oct16677316355610
93551243080010
101022122122120
11364530322750
12146116769860
1375502508628
14376844d6a48
151b8c3969230
hexedfb39db88

1022122122120 has 192 divisors, whose sum is σ = 3636974053440. Its totient is φ = 246892377600.

The previous prime is 1022122122113. The next prime is 1022122122139. The reversal of 1022122122120 is 212212212201.

It is a happy number.

1022122122120 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 221 + 2 + 0 = 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 = 1022122122093 and 1022122122102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631015 + ... + 1562825.

It is an arithmetic number, because the mean of its divisors is an integer number (18942573195).

Almost surely, 21022122122120 is an apocalyptic number.

1022122122120 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 1022122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818487026720).

1022122122120 is an abundant number, since it is smaller than the sum of its proper divisors (2614851931320).

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

1022122122120 is a wasteful number, since it uses less digits than its factorization.

1022122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932116 (or 932109 counting only the distinct ones).

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

Adding to 1022122122120 its reverse (212212212201), we get a palindrome (1234334334321).

The spelling of 1022122122120 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".