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1130201222112 = 253219377178623
BaseRepresentation
bin10000011100100101001…
…111100000101111100000
311000001020122222210221200
4100130211033200233200
5122004123003101422
62223112434321200
7144440303610534
oct20344517405740
94001218883850
101130201222112
113a6352142196
1216305a129200
1382767a649c1
143c9b8531bc4
151e5ec0c62ac
hex107253e0be0

1130201222112 has 288 divisors, whose sum is σ = 3523588024320. Its totient is φ = 342364216320.

The previous prime is 1130201222071. The next prime is 1130201222123. The reversal of 1130201222112 is 2112221020311.

1130201222112 is a `hidden beast` number, since 1 + 130 + 201 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 14335633 + ... + 14414255.

It is an arithmetic number, because the mean of its divisors is an integer number (12234680640).

Almost surely, 21130201222112 is an apocalyptic number.

1130201222112 is a gapful number since it is divisible by the number (12) 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 1130201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761794012160).

1130201222112 is an abundant number, since it is smaller than the sum of its proper divisors (2393386802208).

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

1130201222112 is a wasteful number, since it uses less digits than its factorization.

1130201222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78766 (or 78755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1130201222112 its reverse (2112221020311), we get a palindrome (3242422242423).

The spelling of 1130201222112 in words is "one trillion, one hundred thirty billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".