Search a number
-
+
11222012120000 = 265411171500269
BaseRepresentation
bin1010001101001101010000…
…0010111100101111000000
31110201210222022121220210112
42203103110002330233000
52432330140100320000
635511153213450452
72235522631105313
oct243232402745700
943653868556715
1011222012120000
113637257314720
121312a991a0a28
13635300c499b6
142ab210c7097a
15146d9c353235
hexa34d40bcbc0

11222012120000 has 280 divisors, whose sum is σ = 32142372585840. Its totient is φ = 3840686080000.

The previous prime is 11222012119973. The next prime is 11222012120009. The reversal of 11222012120000 is 2121022211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222012120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6729866 + ... + 8230134.

Almost surely, 211222012120000 is an apocalyptic number.

11222012120000 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 11222012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071186292920).

11222012120000 is an abundant number, since it is smaller than the sum of its proper divisors (20920360465840).

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

11222012120000 is a wasteful number, since it uses less digits than its factorization.

11222012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500329 (or 1500304 counting only the distinct ones).

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

Adding to 11222012120000 its reverse (2121022211), we get a palindrome (11224133142211).

The spelling of 11222012120000 in words is "eleven trillion, two hundred twenty-two billion, twelve million, one hundred twenty thousand".