121034314040010 has 256 divisors, whose sum is σ = 338655427117056. Its totient is φ = 27114683194368.

The previous prime is 121034314039987. The next prime is 121034314040047. The reversal of 121034314040010 is 10040413430121.

121034314040010 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1396082224 + ... + 1396168916.

It is an arithmetic number, because the mean of its divisors is an integer number (1322872762176).

Almost surely, 2^{121034314040010} is an apocalyptic number.

121034314040010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121034314040010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169327713558528).

121034314040010 is an abundant number, since it is smaller than the sum of its proper divisors (217621113077046).

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

121034314040010 is a wasteful number, since it uses less digits than its factorization.

121034314040010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87429.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121034314040010 its reverse (10040413430121), we get a palindrome (131074727470131).

The spelling of 121034314040010 in words is "one hundred twenty-one trillion, thirty-four billion, three hundred fourteen million, forty thousand, ten".