121400744230080 has 1344 divisors, whose sum is σ = 496551890165760. Its totient is φ = 26639843328000.

The previous prime is 121400744230079. The next prime is 121400744230081. The reversal of 121400744230080 is 80032447004121.

121400744230080 is a `hidden beast` number, since 12 + 1 + 400 + 7 + 4 + 4 + 230 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121400744230079) and next prime (121400744230081).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121400744230081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49369963891 + ... + 49369966349.

Almost surely, 2^{121400744230080} is an apocalyptic number.

121400744230080 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 121400744230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248275945082880).

121400744230080 is an abundant number, since it is smaller than the sum of its proper divisors (375151145935680).

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

121400744230080 is a wasteful number, since it uses less digits than its factorization.

121400744230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 121400744230080 in words is "one hundred twenty-one trillion, four hundred billion, seven hundred forty-four million, two hundred thirty thousand, eighty".