121410147040 has 384 divisors, whose sum is σ = 359945752320. Its totient is φ = 37679136768.

The previous prime is 121410147037. The next prime is 121410147043. The reversal of 121410147040 is 40741014121.

It is an interprime number because it is at equal distance from previous prime (121410147037) and next prime (121410147043).

It is a junction number, because it is equal to n+sod(n) for n = 121410146996 and 121410147014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121410147043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179335182 + ... + 179335858.

It is an arithmetic number, because the mean of its divisors is an integer number (937358730).

Almost surely, 2^121410147040 is an apocalyptic number.

121410147040 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 121410147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179972876160).

121410147040 is an abundant number, since it is smaller than the sum of its proper divisors (238535605280).

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

121410147040 is a wasteful number, since it uses less digits than its factorization.

121410147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The spelling of 121410147040 in words is "one hundred twenty-one billion, four hundred ten million, one hundred forty-seven thousand, forty".