10214120560 has 120 divisors (see below), whose sum is σ = 28516496256. Its totient is φ = 3388976640.

The previous prime is 10214120551. The next prime is 10214120573. The reversal of 10214120560 is 6502141201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79494 + ... + 163546.

Almost surely, 2^10214120560 is an apocalyptic number.

10214120560 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 10214120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258248128).

10214120560 is an abundant number, since it is smaller than the sum of its proper divisors (18302375696).

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

10214120560 is a wasteful number, since it uses less digits than its factorization.

10214120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84111 (or 84098 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10214120560 its reverse (6502141201), we get a palindrome (16716261761).

The spelling of 10214120560 in words is "ten billion, two hundred fourteen million, one hundred twenty thousand, five hundred sixty".