121771361536 has 144 divisors (see below), whose sum is σ = 269845184448. Its totient is φ = 54378086400.

The previous prime is 121771361531. The next prime is 121771361557. The reversal of 121771361536 is 635163177121.

It is a junction number, because it is equal to n+sod(n) for n = 121771361492 and 121771361501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121771361531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102070956 + ... + 102072148.

It is an arithmetic number, because the mean of its divisors is an integer number (1873924892).

Almost surely, 2^121771361536 is an apocalyptic number.

121771361536 is a gapful number since it is divisible by the number (16) 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 121771361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134922592224).

121771361536 is an abundant number, since it is smaller than the sum of its proper divisors (148073822912).

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

121771361536 is a wasteful number, since it uses less digits than its factorization.

121771361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The spelling of 121771361536 in words is "one hundred twenty-one billion, seven hundred seventy-one million, three hundred sixty-one thousand, five hundred thirty-six".