114414212000 has 288 divisors, whose sum is σ = 317395849680. Its totient is φ = 40474368000.

The previous prime is 114414211993. The next prime is 114414212083. The reversal of 114414212000 is 212414411.

It can be written as a sum of positive squares in 8 ways, for example, as 194546704 + 114219665296 = 13948^2 + 337964^2 .

It is a super-2 number, since 2×114414212000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17904806 + ... + 17911194.

Almost surely, 2^114414212000 is an apocalyptic number.

114414212000 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 114414212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158697924840).

114414212000 is an abundant number, since it is smaller than the sum of its proper divisors (202981637680).

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

114414212000 is a wasteful number, since it uses less digits than its factorization.

114414212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114414212000 its reverse (212414411), we get a palindrome (114626626411).

The spelling of 114414212000 in words is "one hundred fourteen billion, four hundred fourteen million, two hundred twelve thousand".