1205226972 has 48 divisors (see below), whose sum is σ = 3136268800. Its totient is φ = 400250160.

The previous prime is 1205226961. The next prime is 1205226977. The reversal of 1205226972 is 2796225021.

It is a happy number.

1205226972 is a `hidden beast` number, since 1 + 2 + 0 + 522 + 69 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205226977) 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, 8679 + ... + 49857.

Almost surely, 2^1205226972 is an apocalyptic number.

1205226972 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 1205226972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568134400).

1205226972 is an abundant number, since it is smaller than the sum of its proper divisors (1931041828).

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

1205226972 is a wasteful number, since it uses less digits than its factorization.

1205226972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41463 (or 41455 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1205226972 is about 34716.3790162511. The cubic root of 1205226972 is about 1064.1992473169.

The spelling of 1205226972 in words is "one billion, two hundred five million, two hundred twenty-six thousand, nine hundred seventy-two".