1141701120 has 240 divisors, whose sum is σ = 4519532160. Its totient is φ = 260923392.

The previous prime is 1141701107. The next prime is 1141701133. The reversal of 1141701120 is 211071411.

It is an interprime number because it is at equal distance from previous prime (1141701107) and next prime (1141701133).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1141701093 and 1141701102.

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, 157741 + ... + 164819.

It is an arithmetic number, because the mean of its divisors is an integer number (18831384).

Almost surely, 2^1141701120 is an apocalyptic number.

1141701120 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 1141701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259766080).

1141701120 is an abundant number, since it is smaller than the sum of its proper divisors (3377831040).

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

1141701120 is an equidigital number, since it uses as much as digits as its factorization.

1141701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1141701120 is about 33789.0680546238. The cubic root of 1141701120 is about 1045.1632781354.

Adding to 1141701120 its reverse (211071411), we get a palindrome (1352772531).

It can be divided in two parts, 11417011 and 20, that added together give a triangular number (11417031 = T₄₇₇₈).

The spelling of 1141701120 in words is "one billion, one hundred forty-one million, seven hundred one thousand, one hundred twenty".