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1011120222000 = 243537238110111
BaseRepresentation
bin11101011011010110111…
…01100010111100110000
310120122212201002020022010
432231223131202330300
5113031233234101000
62052300251242520
7133023334036230
oct16555335427460
93518781066263
101011120222000
1135a8a5007309
12143b66149440
137446b097165
1436d1d28dcc0
151b47cb51d50
hexeb6b762f30

1011120222000 has 320 divisors, whose sum is σ = 3727477997568. Its totient is φ = 230993280000.

The previous prime is 1011120221983. The next prime is 1011120222001. The reversal of 1011120222000 is 2220211101.

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

It is not an unprimeable number, because it can be changed into a prime (1011120222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99996945 + ... + 100007055.

Almost surely, 21011120222000 is an apocalyptic number.

1011120222000 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 1011120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863738998784).

1011120222000 is an abundant number, since it is smaller than the sum of its proper divisors (2716357775568).

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

1011120222000 is a wasteful number, since it uses less digits than its factorization.

1011120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1011120222000 its reverse (2220211101), we get a palindrome (1013340433101).

The spelling of 1011120222000 in words is "one trillion, eleven billion, one hundred twenty million, two hundred twenty-two thousand".