122042214110400 has 672 divisors, whose sum is σ = 435991672014912. Its totient is φ = 29762637004800.

The previous prime is 122042214110239. The next prime is 122042214110407. The reversal of 122042214110400 is 4011412240221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (122042214110407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2297584642 + ... + 2297637758.

Almost surely, 2^{122042214110400} is an apocalyptic number.

122042214110400 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 122042214110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217995836007456).

122042214110400 is an abundant number, since it is smaller than the sum of its proper divisors (313949457904512).

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

122042214110400 is a wasteful number, since it uses less digits than its factorization.

122042214110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53957 (or 53942 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122042214110400 its reverse (4011412240221), we get a palindrome (126053626350621).

The spelling of 122042214110400 in words is "one hundred twenty-two trillion, forty-two billion, two hundred fourteen million, one hundred ten thousand, four hundred".