114167036001200 has 720 divisors, whose sum is σ = 347750622535680. Its totient is φ = 35074716733440.

The previous prime is 114167036001191. The next prime is 114167036001209. The reversal of 114167036001200 is 2100630761411.

It is an interprime number because it is at equal distance from previous prime (114167036001191) and next prime (114167036001209).

It is a super-2 number, since 2×114167036001200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114167036001209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23869334009 + ... + 23869338791.

It is an arithmetic number, because the mean of its divisors is an integer number (482986975744).

Almost surely, 2^{114167036001200} is an apocalyptic number.

114167036001200 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 114167036001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173875311267840).

114167036001200 is an abundant number, since it is smaller than the sum of its proper divisors (233583586534480).

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

114167036001200 is a wasteful number, since it uses less digits than its factorization.

114167036001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 114167036001200 its reverse (2100630761411), we get a palindrome (116267666762611).

The spelling of 114167036001200 in words is "one hundred fourteen trillion, one hundred sixty-seven billion, thirty-six million, one thousand, two hundred".