121066377600 has 384 divisors, whose sum is σ = 465041664000. Its totient is φ = 27671562240.

The previous prime is 121066377577. The next prime is 121066377629. The reversal of 121066377600 is 6773660121.

121066377600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3274417 + ... + 3311183.

It is an arithmetic number, because the mean of its divisors is an integer number (1211046000).

Almost surely, 2^121066377600 is an apocalyptic number.

121066377600 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 121066377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232520832000).

121066377600 is an abundant number, since it is smaller than the sum of its proper divisors (343975286400).

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

121066377600 is an equidigital number, since it uses as much as digits as its factorization.

121066377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36815 (or 36784 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 121066377600 in words is "one hundred twenty-one billion, sixty-six million, three hundred seventy-seven thousand, six hundred".