121303121202000 has 480 divisors, whose sum is σ = 432674195784480. Its totient is φ = 31667328000000.

The previous prime is 121303121201981. The next prime is 121303121202013. The reversal of 121303121202000 is 202121303121.

121303121202000 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 312 + 120 + 200 + 0 = 666.

121303121202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 47491173435456 + 73811947766544 = 6891384^2 + 8591388^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161427150 + ... + 162176850.

It is an arithmetic number, because the mean of its divisors is an integer number (901404574551).

Almost surely, 2^{121303121202000} is an apocalyptic number.

121303121202000 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 121303121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216337097892240).

121303121202000 is an abundant number, since it is smaller than the sum of its proper divisors (311371074582480).

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

121303121202000 is a wasteful number, since it uses less digits than its factorization.

121303121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749920 (or 749901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121303121202000 its reverse (202121303121), we get a palindrome (121505242505121).

It can be divided in two parts, 121303121 and 202000, that added together give a palindrome (121505121).

The spelling of 121303121202000 in words is "one hundred twenty-one trillion, three hundred three billion, one hundred twenty-one million, two hundred two thousand".