1278520000 has 70 divisors (see below), whose sum is σ = 3170413268. Its totient is φ = 511392000.

The previous prime is 1278519973. The next prime is 1278520091. The reversal of 1278520000 is 258721.

It is a super-2 number, since 2×1278520000² = 3269226780800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24019 + ... + 55981.

Almost surely, 2^1278520000 is an apocalyptic number.

1278520000 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 1278520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585206634).

1278520000 is an abundant number, since it is smaller than the sum of its proper divisors (1891893268).

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

1278520000 is an frugal number, since it uses more digits than its factorization.

1278520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31995 (or 31970 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1278520000 is about 35756.3980288843. The cubic root of 1278520000 is about 1085.3484125320.

Adding to 1278520000 its reverse (258721), we get a palindrome (1278778721).

The spelling of 1278520000 in words is "one billion, two hundred seventy-eight million, five hundred twenty thousand".