1225199520 has 480 divisors, whose sum is σ = 4702598208. Its totient is φ = 299261952.

The previous prime is 1225199519. The next prime is 1225199533. The reversal of 1225199520 is 259915221.

It is a happy number.

1225199520 is a `hidden beast` number, since 122 + 5 + 1 + 9 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1225199520² = 3002227727616460800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14761399 + ... + 14761481.

Almost surely, 2^1225199520 is an apocalyptic number.

1225199520 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 1225199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351299104).

1225199520 is an abundant number, since it is smaller than the sum of its proper divisors (3477398688).

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

1225199520 is a wasteful number, since it uses less digits than its factorization.

1225199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1225199520 is about 35002.8501696648. The cubic root of 1225199520 is about 1070.0455682693.

The spelling of 1225199520 in words is "one billion, two hundred twenty-five million, one hundred ninety-nine thousand, five hundred twenty".