121261469333760 has 1728 divisors, whose sum is σ = 519617345974272. Its totient is φ = 26473471377408.

The previous prime is 121261469333743. The next prime is 121261469333801. The reversal of 121261469333760 is 67333964162121.

121261469333760 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 61 + 469 + 33 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121261469333697 and 121261469333706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47423334402 + ... + 47423336958.

It is an arithmetic number, because the mean of its divisors is an integer number (300704482624).

Almost surely, 2^{121261469333760} is an apocalyptic number.

121261469333760 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 121261469333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259808672987136).

121261469333760 is an abundant number, since it is smaller than the sum of its proper divisors (398355876640512).

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

121261469333760 is an equidigital number, since it uses as much as digits as its factorization.

121261469333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 121261469333760 in words is "one hundred twenty-one trillion, two hundred sixty-one billion, four hundred sixty-nine million, three hundred thirty-three thousand, seven hundred sixty".