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122231031120 = 2432511103149837
BaseRepresentation
bin111000111010110001…
…0011000010101010000
3102200111111020201211200
41301311202120111100
54000312120443440
6132052511111200
711554666423212
oct1616542302520
9380444221750
10122231031120
11479242598a0
121b832b12500
13b6ac492123
145cb77805b2
1532a5ca1c30
hex1c75898550

122231031120 has 240 divisors, whose sum is σ = 452160738432. Its totient is φ = 29343882240.

The previous prime is 122231031107. The next prime is 122231031199. The reversal of 122231031120 is 21130132221.

122231031120 is a `hidden beast` number, since 1 + 2 + 22 + 310 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 122231031093 and 122231031102.

It is a congruent number.

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, 740842 + ... + 890678.

Almost surely, 2122231031120 is an apocalyptic number.

122231031120 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 122231031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226080369216).

122231031120 is an abundant number, since it is smaller than the sum of its proper divisors (329929707312).

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

122231031120 is a wasteful number, since it uses less digits than its factorization.

122231031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149970 (or 149961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122231031120 its reverse (21130132221), we get a palindrome (143361163341).

The spelling of 122231031120 in words is "one hundred twenty-two billion, two hundred thirty-one million, thirty-one thousand, one hundred twenty".