1225352240400 has 120 divisors (see below), whose sum is σ = 3964075550784. Its totient is φ = 323525312000.

The previous prime is 1225352240377. The next prime is 1225352240407. The reversal of 1225352240400 is 40422535221.

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

It is a super-2 number, since 2×1225352240400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1225352240407) 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, 4933884 + ... + 5176283.

Almost surely, 2^{1225352240400} is an apocalyptic number.

1225352240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225352240400 is an abundant number, since it is smaller than the sum of its proper divisors (2738723310384).

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

1225352240400 is a wasteful number, since it uses less digits than its factorization.

1225352240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110289 (or 10110278 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1225352240400 its reverse (40422535221), we get a palindrome (1265774775621).

The spelling of 1225352240400 in words is "one trillion, two hundred twenty-five billion, three hundred fifty-two million, two hundred forty thousand, four hundred".