121248192 has 112 divisors (see below), whose sum is σ = 356851712. Its totient is φ = 36080640.

The previous prime is 121248133. The next prime is 121248241. The reversal of 121248192 is 291842121.

It is a happy number.

It is a super-2 number, since 2×121248192² = 29402248126537728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76593 + ... + 78159.

It is an arithmetic number, because the mean of its divisors is an integer number (3186176).

Almost surely, 2^121248192 is an apocalyptic number.

121248192 is a gapful number since it is divisible by the number (12) 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 121248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178425856).

121248192 is an abundant number, since it is smaller than the sum of its proper divisors (235603520).

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

121248192 is a wasteful number, since it uses less digits than its factorization.

121248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1616 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 121248192 is about 11011.2756754156. The cubic root of 121248192 is about 494.9466894940.

The spelling of 121248192 in words is "one hundred twenty-one million, two hundred forty-eight thousand, one hundred ninety-two".