121347807834 has 256 divisors, whose sum is σ = 288661045248. Its totient is φ = 33657120000.

The previous prime is 121347807829. The next prime is 121347807853. The reversal of 121347807834 is 438708743121.

121347807834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121347807834² (a number of 23 digits) contains 22 as substring.

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, 575107989 + ... + 575108199.

It is an arithmetic number, because the mean of its divisors is an integer number (1127582208).

Almost surely, 2^121347807834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121347807834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144330522624).

121347807834 is an abundant number, since it is smaller than the sum of its proper divisors (167313237414).

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

121347807834 is a wasteful number, since it uses less digits than its factorization.

121347807834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 121347807834 in words is "one hundred twenty-one billion, three hundred forty-seven million, eight hundred seven thousand, eight hundred thirty-four".