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11412216000 = 263253315113
BaseRepresentation
bin10101010000011100…
…01001100011000000
31002110100002122021200
422220032021203000
5141333011403000
65124231221200
7552543143523
oct125016114300
932410078250
1011412216000
114926997879
122265b17800
1310cb455343
147a3934bba
1546bd67500
hex2a83898c0

11412216000 has 336 divisors, whose sum is σ = 42148524288. Its totient is φ = 2944512000.

The previous prime is 11412215999. The next prime is 11412216017. The reversal of 11412216000 is 61221411.

11412216000 is a `hidden beast` number, since 1 + 1 + 41 + 2 + 21 + 600 + 0 = 666.

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

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, 2229444 + ... + 2234556.

Almost surely, 211412216000 is an apocalyptic number.

11412216000 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 11412216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074262144).

11412216000 is an abundant number, since it is smaller than the sum of its proper divisors (30736308288).

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

11412216000 is a wasteful number, since it uses less digits than its factorization.

11412216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5154 counting only the distinct ones).

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

Adding to 11412216000 its reverse (61221411), we get a palindrome (11473437411).

The spelling of 11412216000 in words is "eleven billion, four hundred twelve million, two hundred sixteen thousand".