1216401952 has 48 divisors (see below), whose sum is σ = 2539579392. Its totient is φ = 571540480.

The previous prime is 1216401937. The next prime is 1216401961. The reversal of 1216401952 is 2591046121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468177 + ... + 470767.

It is an arithmetic number, because the mean of its divisors is an integer number (52907904).

Almost surely, 2^1216401952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216401952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269789696).

1216401952 is an abundant number, since it is smaller than the sum of its proper divisors (1323177440).

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

1216401952 is a wasteful number, since it uses less digits than its factorization.

1216401952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1216401952 is about 34876.9544541951. The cubic root of 1216401952 is about 1067.4782528244.

The spelling of 1216401952 in words is "one billion, two hundred sixteen million, four hundred one thousand, nine hundred fifty-two".