121007040 has 224 divisors, whose sum is σ = 479291904. Its totient is φ = 25128960.

The previous prime is 121007039. The next prime is 121007041. The reversal of 121007040 is 40700121.

It is an interprime number because it is at equal distance from previous prime (121007039) and next prime (121007041).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121007041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73102 + ... + 74738.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2^121007040 is an apocalyptic number.

121007040 is a gapful number since it is divisible by the number (10) 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 121007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

121007040 is an abundant number, since it is smaller than the sum of its proper divisors (358284864).

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

121007040 is a wasteful number, since it uses less digits than its factorization.

121007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 121007040 is about 11000.3199953456. The cubic root of 121007040 is about 494.6183365509.

Adding to 121007040 its reverse (40700121), we get a palindrome (161707161).

It can be divided in two parts, 12100 and 7040, that multiplied together give a cube (85184000 = 440³).

The spelling of 121007040 in words is "one hundred twenty-one million, seven thousand, forty".