1051024222080 has 3072 divisors, whose sum is σ = 4972181760000. Its totient is φ = 210691031040.

The previous prime is 1051024222069. The next prime is 1051024222081. The reversal of 1051024222080 is 802224201501.

1051024222080 is a `hidden beast` number, since 10 + 510 + 2 + 42 + 2 + 20 + 80 = 666.

It is a super-2 number, since 2×1051024222080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051024222081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17229905250 + ... + 17229905310.

It is an arithmetic number, because the mean of its divisors is an integer number (1618548750).

Almost surely, 2^{1051024222080} is an apocalyptic number.

1051024222080 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 1051024222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880000).

1051024222080 is an abundant number, since it is smaller than the sum of its proper divisors (3921157537920).

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

1051024222080 is an equidigital number, since it uses as much as digits as its factorization.

1051024222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1051024222080 its reverse (802224201501), we get a palindrome (1853248423581).

The spelling of 1051024222080 in words is "one trillion, fifty-one billion, twenty-four million, two hundred twenty-two thousand, eighty".