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1220011112100 = 22352113771140731
BaseRepresentation
bin10001110000001110010…
…101000011011010100100
311022122001200010221011110
4101300032111003122210
5124442040321041400
62332244304105020
7154100004230514
oct21601625033244
94278050127143
101220011112100
11430449515870
12178543305170
138b07b383441
14430980a3844
1521b068ede50
hex11c0e5436a4

1220011112100 has 288 divisors, whose sum is σ = 4010605304832. Its totient is φ = 283711680000.

The previous prime is 1220011112017. The next prime is 1220011112113. The reversal of 1220011112100 is 12111100221.

It is a super-2 number, since 2×12200111121002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8598735 + ... + 8739465.

It is an arithmetic number, because the mean of its divisors is an integer number (13925712864).

Almost surely, 21220011112100 is an apocalyptic number.

1220011112100 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 1220011112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005302652416).

1220011112100 is an abundant number, since it is smaller than the sum of its proper divisors (2790594192732).

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

1220011112100 is a wasteful number, since it uses less digits than its factorization.

1220011112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140867 (or 140860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1220011112100 its reverse (12111100221), we get a palindrome (1232122212321).

The spelling of 1220011112100 in words is "one trillion, two hundred twenty billion, eleven million, one hundred twelve thousand, one hundred".