121345737600 has 192 divisors, whose sum is σ = 400032967680. Its totient is φ = 32330496000.

The previous prime is 121345737593. The next prime is 121345737613. The reversal of 121345737600 is 6737543121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12388705 + ... + 12398495.

It is an arithmetic number, because the mean of its divisors is an integer number (2083505040).

Almost surely, 2^121345737600 is an apocalyptic number.

121345737600 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 121345737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200016483840).

121345737600 is an abundant number, since it is smaller than the sum of its proper divisors (278687230080).

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

121345737600 is a wasteful number, since it uses less digits than its factorization.

121345737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 121345737600 in words is "one hundred twenty-one billion, three hundred forty-five million, seven hundred thirty-seven thousand, six hundred".