121403153313260 has 288 divisors, whose sum is σ = 327046875724800. Its totient is φ = 37501497718272.

The previous prime is 121403153313259. The next prime is 121403153313263. The reversal of 121403153313260 is 62313351304121.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 121403153313260.

It is not an unprimeable number, because it can be changed into a prime (121403153313263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766320977 + ... + 766479383.

It is an arithmetic number, because the mean of its divisors is an integer number (1135579429600).

Almost surely, 2^{121403153313260} is an apocalyptic number.

121403153313260 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 121403153313260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163523437862400).

121403153313260 is an abundant number, since it is smaller than the sum of its proper divisors (205643722411540).

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

121403153313260 is a wasteful number, since it uses less digits than its factorization.

121403153313260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159885 (or 159876 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 121403153313260 in words is "one hundred twenty-one trillion, four hundred three billion, one hundred fifty-three million, three hundred thirteen thousand, two hundred sixty".