1211599480 has 128 divisors (see below), whose sum is σ = 3424176000. Its totient is φ = 383394816.

The previous prime is 1211599457. The next prime is 1211599483. The reversal of 1211599480 is 849951121.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211599483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174964 + ... + 181756.

It is an arithmetic number, because the mean of its divisors is an integer number (26751375).

Almost surely, 2^1211599480 is an apocalyptic number.

1211599480 is a gapful number since it is divisible by the number (10) 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 1211599480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712088000).

1211599480 is an abundant number, since it is smaller than the sum of its proper divisors (2212576520).

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

1211599480 is a wasteful number, since it uses less digits than its factorization.

1211599480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 1211599480 is about 34808.0375775481. The cubic root of 1211599480 is about 1066.0715643165.

The spelling of 1211599480 in words is "one billion, two hundred eleven million, five hundred ninety-nine thousand, four hundred eighty".