1207140381216 has 768 divisors, whose sum is σ = 4495841280000. Its totient is φ = 312378716160.

The previous prime is 1207140381211. The next prime is 1207140381221. The reversal of 1207140381216 is 6121830417021.

1207140381216 is a `hidden beast` number, since 1 + 20 + 7 + 1 + 40 + 381 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (1207140381211) and next prime (1207140381221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1207140381211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1196372520 + ... + 1196373528.

It is an arithmetic number, because the mean of its divisors is an integer number (5853960000).

Almost surely, 2^{1207140381216} is an apocalyptic number.

1207140381216 is a gapful number since it is divisible by the number (16) 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 1207140381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247920640000).

1207140381216 is an abundant number, since it is smaller than the sum of its proper divisors (3288700898784).

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

1207140381216 is a wasteful number, since it uses less digits than its factorization.

1207140381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1207140381216 its reverse (6121830417021), we get a palindrome (7328970798237).

The spelling of 1207140381216 in words is "one trillion, two hundred seven billion, one hundred forty million, three hundred eighty-one thousand, two hundred sixteen".