121010442040320 has 352 divisors, whose sum is σ = 442431355170816. Its totient is φ = 27653591040000.

The previous prime is 121010442040283. The next prime is 121010442040351. The reversal of 121010442040320 is 23040244010121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510709075 + ... + 510945965.

It is an arithmetic number, because the mean of its divisors is an integer number (1256907259008).

Almost surely, 2^{121010442040320} is an apocalyptic number.

121010442040320 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 121010442040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221215677585408).

121010442040320 is an abundant number, since it is smaller than the sum of its proper divisors (321420913130496).

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

121010442040320 is a wasteful number, since it uses less digits than its factorization.

121010442040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241677 (or 241659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 121010442040320 its reverse (23040244010121), we get a palindrome (144050686050441).

The spelling of 121010442040320 in words is "one hundred twenty-one trillion, ten billion, four hundred forty-two million, forty thousand, three hundred twenty".