121313212020 has 1152 divisors, whose sum is σ = 524690030592. Its totient is φ = 21872332800.

The previous prime is 121313212001. The next prime is 121313212067. The reversal of 121313212020 is 20212313121.

121313212020 is a `hidden beast` number, since 12 + 131 + 321 + 202 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121313211984 and 121313212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 206666167 + ... + 206666753.

It is an arithmetic number, because the mean of its divisors is an integer number (455460096).

Almost surely, 2^121313212020 is an apocalyptic number.

121313212020 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 121313212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262345015296).

121313212020 is an abundant number, since it is smaller than the sum of its proper divisors (403376818572).

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

121313212020 is a wasteful number, since it uses less digits than its factorization.

121313212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

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

Adding to 121313212020 its reverse (20212313121), we get a palindrome (141525525141).

It can be divided in two parts, 121313 and 212020, that added together give a palindrome (333333).

The spelling of 121313212020 in words is "one hundred twenty-one billion, three hundred thirteen million, two hundred twelve thousand, twenty".