1206226032 has 80 divisors (see below), whose sum is σ = 3433173120. Its totient is φ = 361888000.

The previous prime is 1206226019. The next prime is 1206226037. The reversal of 1206226032 is 2306226021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1206225993 and 1206226011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206226037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42019 + ... + 64637.

It is an arithmetic number, because the mean of its divisors is an integer number (42914664).

Almost surely, 2^1206226032 is an apocalyptic number.

1206226032 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 1206226032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716586560).

1206226032 is an abundant number, since it is smaller than the sum of its proper divisors (2226947088).

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

1206226032 is a wasteful number, since it uses less digits than its factorization.

1206226032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22742 (or 22736 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1206226032 is about 34730.7649210322. The cubic root of 1206226032 is about 1064.4932182961.

It can be divided in two parts, 120 and 6226032, that multiplied together give a triangular number (747123840 = T₃₈₆₅₅).

The spelling of 1206226032 in words is "one billion, two hundred six million, two hundred twenty-six thousand, thirty-two".