1236416509120 has 224 divisors, whose sum is σ = 3275296528896. Its totient is φ = 441483264000.

The previous prime is 1236416509117. The next prime is 1236416509129. The reversal of 1236416509120 is 219056146321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1236416509129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257530720 + ... + 257535520.

It is an arithmetic number, because the mean of its divisors is an integer number (14621859504).

Almost surely, 2^{1236416509120} is an apocalyptic number.

1236416509120 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 1236416509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637648264448).

1236416509120 is an abundant number, since it is smaller than the sum of its proper divisors (2038880019776).

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

1236416509120 is a wasteful number, since it uses less digits than its factorization.

1236416509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 1236416509120 in words is "one trillion, two hundred thirty-six billion, four hundred sixteen million, five hundred nine thousand, one hundred twenty".