121020412303032 has 256 divisors, whose sum is σ = 340103037081600. Its totient is φ = 35563145748480.

The previous prime is 121020412303003. The next prime is 121020412303073. The reversal of 121020412303032 is 230303214020121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121020412302993 and 121020412303011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13427312958 + ... + 13427321970.

It is an arithmetic number, because the mean of its divisors is an integer number (1328527488600).

Almost surely, 2^{121020412303032} is an apocalyptic number.

121020412303032 is a gapful number since it is divisible by the number (12) 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 121020412303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170051518540800).

121020412303032 is an abundant number, since it is smaller than the sum of its proper divisors (219082624778568).

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

121020412303032 is a wasteful number, since it uses less digits than its factorization.

121020412303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121020412303032 its reverse (230303214020121), we get a palindrome (351323626323153).

The spelling of 121020412303032 in words is "one hundred twenty-one trillion, twenty billion, four hundred twelve million, three hundred three thousand, thirty-two".