1201012020 has 144 divisors (see below), whose sum is σ = 3947820240. Its totient is φ = 295536384.

The previous prime is 1201011991. The next prime is 1201012027. The reversal of 1201012020 is 202101021.

It can be written as a sum of positive squares in 8 ways, for example, as 687173796 + 513838224 = 26214^2 + 22668^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1201011993 and 1201012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201012027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393942 + ... + 396978.

Almost surely, 2^1201012020 is an apocalyptic number.

1201012020 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 1201012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973910120).

1201012020 is an abundant number, since it is smaller than the sum of its proper divisors (2746808220).

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

1201012020 is a wasteful number, since it uses less digits than its factorization.

1201012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201012020 is about 34655.6203234050. The cubic root of 1201012020 is about 1062.9572162784.

Adding to 1201012020 its reverse (202101021), we get a palindrome (1403113041).

The spelling of 1201012020 in words is "one billion, two hundred one million, twelve thousand, twenty".