1200121606140 has 192 divisors, whose sum is σ = 3695412672000. Its totient is φ = 289834675200.

The previous prime is 1200121606133. The next prime is 1200121606147. The reversal of 1200121606140 is 416061210021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1200121606133) and next prime (1200121606147).

It is a self number, because there is not a number n which added to its sum of digits gives 1200121606140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200121606147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3159351 + ... + 3518769.

It is an arithmetic number, because the mean of its divisors is an integer number (19246941000).

Almost surely, 2^{1200121606140} is an apocalyptic number.

1200121606140 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 1200121606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847706336000).

1200121606140 is an abundant number, since it is smaller than the sum of its proper divisors (2495291065860).

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

1200121606140 is a wasteful number, since it uses less digits than its factorization.

1200121606140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359580 (or 359578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1200121606140 its reverse (416061210021), we get a palindrome (1616182816161).

The spelling of 1200121606140 in words is "one trillion, two hundred billion, one hundred twenty-one million, six hundred six thousand, one hundred forty".