1211865762432 has 256 divisors, whose sum is σ = 3553074201600. Its totient is φ = 365832769536.

The previous prime is 1211865762427. The next prime is 1211865762463. The reversal of 1211865762432 is 2342675681121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44699793 + ... + 44726895.

It is an arithmetic number, because the mean of its divisors is an integer number (13879196100).

Almost surely, 2^{1211865762432} is an apocalyptic number.

1211865762432 is a gapful number since it is divisible by the number (12) 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 1211865762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776537100800).

1211865762432 is an abundant number, since it is smaller than the sum of its proper divisors (2341208439168).

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

1211865762432 is an equidigital number, since it uses as much as digits as its factorization.

1211865762432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27212 (or 27174 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 1211865762432 in words is "one trillion, two hundred eleven billion, eight hundred sixty-five million, seven hundred sixty-two thousand, four hundred thirty-two".