1267838601120 has 1152 divisors, whose sum is σ = 5661992254464. Its totient is φ = 251010220032.

The previous prime is 1267838601103. The next prime is 1267838601181. The reversal of 1267838601120 is 211068387621.

1267838601120 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 8 + 38 + 601 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159733792 + ... + 159741728.

It is an arithmetic number, because the mean of its divisors is an integer number (4914923832).

Almost surely, 2^{1267838601120} is an apocalyptic number.

1267838601120 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 1267838601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830996127232).

1267838601120 is an abundant number, since it is smaller than the sum of its proper divisors (4394153653344).

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

1267838601120 is a wasteful number, since it uses less digits than its factorization.

1267838601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8043 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1267838601120 in words is "one trillion, two hundred sixty-seven billion, eight hundred thirty-eight million, six hundred one thousand, one hundred twenty".