121741401600 has 1920 divisors, whose sum is σ = 568296960000. Its totient is φ = 25360957440.

The previous prime is 121741401599. The next prime is 121741401601. The reversal of 121741401600 is 6104147121.

121741401600 is a `hidden beast` number, since 1 + 2 + 17 + 4 + 1 + 40 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (121741401599) and next prime (121741401601).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121741401601) 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, 1541030361 + ... + 1541030439.

It is an arithmetic number, because the mean of its divisors is an integer number (295988000).

Almost surely, 2^121741401600 is an apocalyptic number.

121741401600 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 121741401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284148480000).

121741401600 is an abundant number, since it is smaller than the sum of its proper divisors (446555558400).

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

121741401600 is an equidigital number, since it uses as much as digits as its factorization.

121741401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 121741401600 its reverse (6104147121), we get a palindrome (127845548721).

The spelling of 121741401600 in words is "one hundred twenty-one billion, seven hundred forty-one million, four hundred one thousand, six hundred".