12276895151040 has 448 divisors, whose sum is σ = 43438156984320. Its totient is φ = 2917332910080.

The previous prime is 12276895151029. The next prime is 12276895151041. The reversal of 12276895151040 is 4015159867221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12276895151041) 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, 158195127 + ... + 158272713.

It is an arithmetic number, because the mean of its divisors is an integer number (96960171840).

Almost surely, 2^{12276895151040} is an apocalyptic number.

12276895151040 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 12276895151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719078492160).

12276895151040 is an abundant number, since it is smaller than the sum of its proper divisors (31161261833280).

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

12276895151040 is a wasteful number, since it uses less digits than its factorization.

12276895151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78060 (or 78050 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 12276895151040 in words is "twelve trillion, two hundred seventy-six billion, eight hundred ninety-five million, one hundred fifty-one thousand, forty".