1501225212240 has 120 divisors (see below), whose sum is σ = 5429431218120. Its totient is φ = 369532357632.

The previous prime is 1501225212127. The next prime is 1501225212247. The reversal of 1501225212240 is 422125221051.

1501225212240 is a `hidden beast` number, since 15 + 0 + 122 + 521 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119547211536 + 1381678000704 = 345756^2 + 1175448^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1501225212247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80184295 + ... + 80203014.

It is an arithmetic number, because the mean of its divisors is an integer number (45245260151).

Almost surely, 2^{1501225212240} is an apocalyptic number.

1501225212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1501225212240 is an abundant number, since it is smaller than the sum of its proper divisors (3928206005880).

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

1501225212240 is a wasteful number, since it uses less digits than its factorization.

1501225212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160387341 (or 160387332 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1501225212240 in words is "one trillion, five hundred one billion, two hundred twenty-five million, two hundred twelve thousand, two hundred forty".