11430223213200 has 240 divisors, whose sum is σ = 39946197779712. Its totient is φ = 2770771520000.

The previous prime is 11430223213183. The next prime is 11430223213217. The reversal of 11430223213200 is 231232203411.

It is an interprime number because it is at equal distance from previous prime (11430223213183) and next prime (11430223213217).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11430223213200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 321679435 + ... + 321714965.

Almost surely, 2^{11430223213200} is an apocalyptic number.

11430223213200 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 11430223213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973098889856).

11430223213200 is an abundant number, since it is smaller than the sum of its proper divisors (28515974566512).

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

11430223213200 is a wasteful number, since it uses less digits than its factorization.

11430223213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59934 (or 59923 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11430223213200 its reverse (231232203411), we get a palindrome (11661455416611).

The spelling of 11430223213200 in words is "eleven trillion, four hundred thirty billion, two hundred twenty-three million, two hundred thirteen thousand, two hundred".