114222132350400 has 84 divisors (see below), whose sum is σ = 374743779235352. Its totient is φ = 30459235292160.

The previous prime is 114222132350341. The next prime is 114222132350411. The reversal of 114222132350400 is 4053231222411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11898133987 + ... + 11898143586.

Almost surely, 2^{114222132350400} is an apocalyptic number.

114222132350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114222132350400 is an abundant number, since it is smaller than the sum of its proper divisors (260521646884952).

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

114222132350400 is a wasteful number, since it uses less digits than its factorization.

114222132350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23796277598 (or 23796277583 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114222132350400 its reverse (4053231222411), we get a palindrome (118275363572811).

The spelling of 114222132350400 in words is "one hundred fourteen trillion, two hundred twenty-two billion, one hundred thirty-two million, three hundred fifty thousand, four hundred".