1211742332028 has 144 divisors (see below), whose sum is σ = 3267096268800. Its totient is φ = 377573788800.

The previous prime is 1211742331999. The next prime is 1211742332029. The reversal of 1211742332028 is 8202332471121.

1211742332028 is a `hidden beast` number, since 1 + 21 + 1 + 7 + 423 + 3 + 202 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211742331983 and 1211742332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211742332029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98501478 + ... + 98513778.

Almost surely, 2^{1211742332028} is an apocalyptic number.

1211742332028 is a gapful number since it is divisible by the number (18) 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 1211742332028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633548134400).

1211742332028 is an abundant number, since it is smaller than the sum of its proper divisors (2055353936772).

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

1211742332028 is a wasteful number, since it uses less digits than its factorization.

1211742332028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14232 (or 14227 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1211742332028 in words is "one trillion, two hundred eleven billion, seven hundred forty-two million, three hundred thirty-two thousand, twenty-eight".