121042944 has 192 divisors, whose sum is σ = 393120000. Its totient is φ = 36495360.

The previous prime is 121042921. The next prime is 121042949. The reversal of 121042944 is 449240121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121042949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608157 + ... + 608355.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^121042944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

121042944 is an abundant number, since it is smaller than the sum of its proper divisors (272077056).

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

121042944 is a wasteful number, since it uses less digits than its factorization.

121042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121042944 is about 11001.9518268351. The cubic root of 121042944 is about 494.6672511172.

The spelling of 121042944 in words is "one hundred twenty-one million, forty-two thousand, nine hundred forty-four".