1200012100 has 72 divisors (see below), whose sum is σ = 2996002688. Its totient is φ = 408672000.

The previous prime is 1200012053. The next prime is 1200012101. The reversal of 1200012100 is 12100021.

It is a super-3 number, since 3×1200012100³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1200012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100024 + ... + 111376.

Almost surely, 2^1200012100 is an apocalyptic number.

1200012100 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 1200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498001344).

1200012100 is an abundant number, since it is smaller than the sum of its proper divisors (1795990588).

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

1200012100 is a wasteful number, since it uses less digits than its factorization.

1200012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1200012100 is about 34641.1907993937. The cubic root of 1200012100 is about 1062.6621408841.

Adding to 1200012100 its reverse (12100021), we get a palindrome (1212112121).

The spelling of 1200012100 in words is "one billion, two hundred million, twelve thousand, one hundred".