1012231032120 has 1152 divisors, whose sum is σ = 4371022656000. Its totient is φ = 198306662400.

The previous prime is 1012231032067. The next prime is 1012231032133. The reversal of 1012231032120 is 212301322101.

1012231032120 is a `hidden beast` number, since 1 + 0 + 12 + 2 + 310 + 321 + 20 = 666.

It is a super-2 number, since 2×1012231032120² (a number of 25 digits) contains 22 as substring.

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 = 1012231032093 and 1012231032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2195728690 + ... + 2195729150.

It is an arithmetic number, because the mean of its divisors is an integer number (3794290500).

Almost surely, 2^{1012231032120} is an apocalyptic number.

1012231032120 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 1012231032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185511328000).

1012231032120 is an abundant number, since it is smaller than the sum of its proper divisors (3358791623880).

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

1012231032120 is a wasteful number, since it uses less digits than its factorization.

1012231032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

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

Adding to 1012231032120 its reverse (212301322101), we get a palindrome (1224532354221).

The spelling of 1012231032120 in words is "one trillion, twelve billion, two hundred thirty-one million, thirty-two thousand, one hundred twenty".