1012121133320 has 128 divisors (see below), whose sum is σ = 2551424572800. Its totient is φ = 358222848000.

The previous prime is 1012121133277. The next prime is 1012121133329. The reversal of 1012121133320 is 233311212101.

It is a happy number.

1012121133320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012121133320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1012121133292 and 1012121133301.

It is not an unprimeable number, because it can be changed into a prime (1012121133329) 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, 2428952 + ... + 2814968.

It is an arithmetic number, because the mean of its divisors is an integer number (19933004475).

Almost surely, 2^{1012121133320} is an apocalyptic number.

1012121133320 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 1012121133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275712286400).

1012121133320 is an abundant number, since it is smaller than the sum of its proper divisors (1539303439480).

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

1012121133320 is a wasteful number, since it uses less digits than its factorization.

1012121133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386199 (or 386195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1012121133320 its reverse (233311212101), we get a palindrome (1245432345421).

The spelling of 1012121133320 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty".