121301133033120 has 96 divisors (see below), whose sum is σ = 391418046411840. Its totient is φ = 31558018344960.

The previous prime is 121301133033077. The next prime is 121301133033121. The reversal of 121301133033120 is 21330331103121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×121301133033120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121301133033121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3081818050 + ... + 3081857409.

It is an arithmetic number, because the mean of its divisors is an integer number (4077271316790).

Almost surely, 2^{121301133033120} is an apocalyptic number.

121301133033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121301133033120 is an abundant number, since it is smaller than the sum of its proper divisors (270116913378720).

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

121301133033120 is a wasteful number, since it uses less digits than its factorization.

121301133033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163675518 (or 6163675510 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 121301133033120 its reverse (21330331103121), we get a palindrome (142631464136241).

The spelling of 121301133033120 in words is "one hundred twenty-one trillion, three hundred one billion, one hundred thirty-three million, thirty-three thousand, one hundred twenty".