1220151405 has 128 divisors (see below), whose sum is σ = 2351646720. Its totient is φ = 533744640.

The previous prime is 1220151391. The next prime is 1220151461. The reversal of 1220151405 is 5041510221.

It is not a de Polignac number, because 1220151405 - 2⁷ = 1220151277 is a prime.

It is a super-2 number, since 2×1220151405² = 2977538902246948050, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 7771587 + ... + 7771743.

It is an arithmetic number, because the mean of its divisors is an integer number (18372240).

Almost surely, 2^1220151405 is an apocalyptic number.

1220151405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220151405 is a deficient number, since it is larger than the sum of its proper divisors (1131495315).

1220151405 is a wasteful number, since it uses less digits than its factorization.

1220151405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1220151405 is about 34930.6656821767. The cubic root of 1220151405 is about 1068.5739307095.

Adding to 1220151405 its reverse (5041510221), we get a palindrome (6261661626).

The spelling of 1220151405 in words is "one billion, two hundred twenty million, one hundred fifty-one thousand, four hundred five".