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112200202010120 = 235789127203917387
BaseRepresentation
bin11001100000101110100101…
…001011110011111000001000
3112201021020022222210111100212
4121200232211023303320020
5104201242003203310440
61034344021120420252
732430124413160460
oct3140564513637010
9481236288714325
10112200202010120
1132828924a88394
1210701198777688
134a7b583963bc3
141d9c739658ba0
15ce88b8769465
hex660ba52f3e08

112200202010120 has 256 divisors, whose sum is σ = 294214975488000. Its totient is φ = 37716232587264.

The previous prime is 112200202010101. The next prime is 112200202010123. The reversal of 112200202010120 is 21010202002211.

It is a super-2 number, since 2×1122002020101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112200202010095 and 112200202010104.

It is not an unprimeable number, because it can be changed into a prime (112200202010123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6453100067 + ... + 6453117453.

It is an arithmetic number, because the mean of its divisors is an integer number (1149277248000).

Almost surely, 2112200202010120 is an apocalyptic number.

112200202010120 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 112200202010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147107487744000).

112200202010120 is an abundant number, since it is smaller than the sum of its proper divisors (182014773477880).

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

112200202010120 is a wasteful number, since it uses less digits than its factorization.

112200202010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19660 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112200202010120 its reverse (21010202002211), we get a palindrome (133210404012331).

The spelling of 112200202010120 in words is "one hundred twelve trillion, two hundred billion, two hundred two million, ten thousand, one hundred twenty".