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121113113220 = 2234511219311049
BaseRepresentation
bin111000011001011100…
…1110111001010000100
3102120121120200121210000
41300302321313022010
53441014424110340
6131345534201300
711515203322311
oct1606271671204
9376546617700
10121113113220
1147400216600
121b580653230
13b5619a9948
145c0d0d9d08
15323ca7bd30
hex1c32e77284

121113113220 has 720 divisors, whose sum is σ = 454208832000. Its totient is φ = 26892518400.

The previous prime is 121113113207. The next prime is 121113113237. The reversal of 121113113220 is 22311311121.

121113113220 is a `hidden beast` number, since 1 + 21 + 11 + 311 + 322 + 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 = 121113113193 and 121113113202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 115455256 + ... + 115456304.

It is an arithmetic number, because the mean of its divisors is an integer number (630845600).

Almost surely, 2121113113220 is an apocalyptic number.

121113113220 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 121113113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227104416000).

121113113220 is an abundant number, since it is smaller than the sum of its proper divisors (333095718780).

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

121113113220 is a wasteful number, since it uses less digits than its factorization.

121113113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121113113220 its reverse (22311311121), we get a palindrome (143424424341).

The spelling of 121113113220 in words is "one hundred twenty-one billion, one hundred thirteen million, one hundred thirteen thousand, two hundred twenty".