121742208 has 192 divisors, whose sum is σ = 414136320. Its totient is φ = 33592320.

The previous prime is 121742191. The next prime is 121742213. The reversal of 121742208 is 802247121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249741 + ... + 250227.

It is an arithmetic number, because the mean of its divisors is an integer number (2156960).

Almost surely, 2^121742208 is an apocalyptic number.

121742208 is a gapful number since it is divisible by the number (18) 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 121742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207068160).

121742208 is an abundant number, since it is smaller than the sum of its proper divisors (292394112).

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

121742208 is a wasteful number, since it uses less digits than its factorization.

121742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121742208 is about 11033.6851504835. The cubic root of 121742208 is about 495.6179854214.

Adding to 121742208 its reverse (802247121), we get a palindrome (923989329).

The spelling of 121742208 in words is "one hundred twenty-one million, seven hundred forty-two thousand, two hundred eight".