114555210004200 has 384 divisors, whose sum is σ = 406347512094720. Its totient is φ = 26152149888000.

The previous prime is 114555210004189. The next prime is 114555210004219. The reversal of 114555210004200 is 2400012555411.

It is a super-2 number, since 2×114555210004200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14498820250 + ... + 14498828150.

It is an arithmetic number, because the mean of its divisors is an integer number (1058196646080).

Almost surely, 2^{114555210004200} is an apocalyptic number.

114555210004200 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 114555210004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203173756047360).

114555210004200 is an abundant number, since it is smaller than the sum of its proper divisors (291792302090520).

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

114555210004200 is a wasteful number, since it uses less digits than its factorization.

114555210004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 114555210004200 its reverse (2400012555411), we get a palindrome (116955222559611).

The spelling of 114555210004200 in words is "one hundred fourteen trillion, five hundred fifty-five billion, two hundred ten million, four thousand, two hundred".