10204120220240 has 80 divisors (see below), whose sum is σ = 26059034793600. Its totient is φ = 3698701687296.

The previous prime is 10204120220219. The next prime is 10204120220291. The reversal of 10204120220240 is 4202202140201.

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

It is a super-2 number, since 2×10204120220240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145904975 + ... + 145974894.

It is an arithmetic number, because the mean of its divisors is an integer number (325737934920).

Almost surely, 2^{10204120220240} is an apocalyptic number.

10204120220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204120220240 is an abundant number, since it is smaller than the sum of its proper divisors (15854914573360).

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

10204120220240 is a wasteful number, since it uses less digits than its factorization.

10204120220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291879924 (or 291879918 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10204120220240 its reverse (4202202140201), we get a palindrome (14406322360441).

The spelling of 10204120220240 in words is "ten trillion, two hundred four billion, one hundred twenty million, two hundred twenty thousand, two hundred forty".