1201011123120 has 80 divisors (see below), whose sum is σ = 3735029713632. Its totient is φ = 319246387200.

The previous prime is 1201011123107. The next prime is 1201011123127. The reversal of 1201011123120 is 213211101021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201011123120.

It is not an unprimeable number, because it can be changed into a prime (1201011123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7918831 + ... + 8069070.

Almost surely, 2^{1201011123120} is an apocalyptic number.

1201011123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201011123120 is an abundant number, since it is smaller than the sum of its proper divisors (2534018590512).

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

1201011123120 is a wasteful number, since it uses less digits than its factorization.

1201011123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15988230 (or 15988224 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1201011123120 its reverse (213211101021), we get a palindrome (1414222224141).

The spelling of 1201011123120 in words is "one trillion, two hundred one billion, eleven million, one hundred twenty-three thousand, one hundred twenty".