1042120020 has 96 divisors (see below), whose sum is σ = 2961100800. Its totient is φ = 273817600.

The previous prime is 1042119997. The next prime is 1042120021. The reversal of 1042120020 is 200212401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1042119978 and 1042120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042120021) 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, 2320756 + ... + 2321204.

It is an arithmetic number, because the mean of its divisors is an integer number (30844800).

Almost surely, 2^1042120020 is an apocalyptic number.

1042120020 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 1042120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

1042120020 is an abundant number, since it is smaller than the sum of its proper divisors (1918980780).

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

1042120020 is a wasteful number, since it uses less digits than its factorization.

1042120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1042120020 is about 32281.8837740303. The cubic root of 1042120020 is about 1013.8473718821.

Adding to 1042120020 its reverse (200212401), we get a palindrome (1242332421).

The spelling of 1042120020 in words is "one billion, forty-two million, one hundred twenty thousand, twenty".