1354011120 has 480 divisors, whose sum is σ = 5923549440. Its totient is φ = 281111040.

The previous prime is 1354011103. The next prime is 1354011137. The reversal of 1354011120 is 211104531.

1354011120 is a `hidden beast` number, since 1 + 3 + 540 + 1 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1354011103) and next prime (1354011137).

It is a super-2 number, since 2×1354011120² = 3666692226167308800, which contains 22 as substring.

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 = 1354011093 and 1354011102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163659 + ... + 1164821.

It is an arithmetic number, because the mean of its divisors is an integer number (12340728).

Almost surely, 2^1354011120 is an apocalyptic number.

1354011120 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 1354011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961774720).

1354011120 is an abundant number, since it is smaller than the sum of its proper divisors (4569538320).

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

1354011120 is a wasteful number, since it uses less digits than its factorization.

1354011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1354011120 is about 36796.8900859842. The cubic root of 1354011120 is about 1106.3029667256.

Adding to 1354011120 its reverse (211104531), we get a palindrome (1565115651).

The spelling of 1354011120 in words is "one billion, three hundred fifty-four million, eleven thousand, one hundred twenty".