121771936 has 144 divisors (see below), whose sum is σ = 298831680. Its totient is φ = 48322560.

The previous prime is 121771933. The next prime is 121771973. The reversal of 121771936 is 639177121.

It is a junction number, because it is equal to n+sod(n) for n = 121771895 and 121771904.

It is not an unprimeable number, because it can be changed into a prime (121771933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368180 + ... + 1368268.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^121771936 is an apocalyptic number.

121771936 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 121771936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840).

121771936 is an abundant number, since it is smaller than the sum of its proper divisors (177059744).

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

121771936 is a wasteful number, since it uses less digits than its factorization.

121771936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 15876, while the sum is 37.

The square root of 121771936 is about 11035.0322156304. The cubic root of 121771936 is about 495.6583234783.

It can be divided in two parts, 1217 and 71936, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 121771936 in words is "one hundred twenty-one million, seven hundred seventy-one thousand, nine hundred thirty-six".