1201011202120 has 32 divisors (see below), whose sum is σ = 2706683539320. Its totient is φ = 479620776960.

The previous prime is 1201011202093. The next prime is 1201011202147. The reversal of 1201011202120 is 212021101021.

It is an interprime number because it is at equal distance from previous prime (1201011202093) and next prime (1201011202147).

It can be written as a sum of positive squares in 4 ways, for example, as 722863845796 + 478147356324 = 850214^2 + 691482^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1201011202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24465921 + ... + 24514960.

Almost surely, 2^{1201011202120} is an apocalyptic number.

1201011202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201011202120 is an abundant number, since it is smaller than the sum of its proper divisors (1505672337200).

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

1201011202120 is a wasteful number, since it uses less digits than its factorization.

1201011202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48981505 (or 48981501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201011202120 its reverse (212021101021), we get a palindrome (1413032303141).

The spelling of 1201011202120 in words is "one trillion, two hundred one billion, eleven million, two hundred two thousand, one hundred twenty".