201225105532240 has 80 divisors (see below), whose sum is σ = 477018076277520. Its totient is φ = 78920783400960.

The previous prime is 201225105532219. The next prime is 201225105532249. The reversal of 201225105532240 is 42235501522102.

It can be written as a sum of positive squares in 8 ways, for example, as 50583161249856 + 150641944282384 = 7112184^2 + 12273628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201225105532240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201225105532196 and 201225105532205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201225105532249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63491925 + ... + 66585844.

It is an arithmetic number, because the mean of its divisors is an integer number (5962725953469).

Almost surely, 2^{201225105532240} is an apocalyptic number.

201225105532240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201225105532240 is an abundant number, since it is smaller than the sum of its proper divisors (275792970745280).

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

201225105532240 is a wasteful number, since it uses less digits than its factorization.

201225105532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130078160 (or 130078154 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 201225105532240 in words is "two hundred one trillion, two hundred twenty-five billion, one hundred five million, five hundred thirty-two thousand, two hundred forty".