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1221125304 = 233741177283
BaseRepresentation
bin100100011001000…
…1110010010111000
310011002202121000010
41020302032102320
510000102002204
6321100541520
742155252040
oct11062162270
93132677003
101221125304
11577325573
122a0b518a0
13165cacb69
14b826c720
157230ed89
hex48c8e4b8

1221125304 has 64 divisors (see below), whose sum is σ = 3574045440. Its totient is φ = 340381440.

The previous prime is 1221125303. The next prime is 1221125333. The reversal of 1221125304 is 4035211221.

It is a super-2 number, since 2×12211253042 = 2982294016138184832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221125303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81754 + ... + 95529.

It is an arithmetic number, because the mean of its divisors is an integer number (55844460).

Almost surely, 21221125304 is an apocalyptic number.

1221125304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1221125304 is an abundant number, since it is smaller than the sum of its proper divisors (2352920136).

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

1221125304 is a wasteful number, since it uses less digits than its factorization.

1221125304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177340 (or 177336 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1221125304 is about 34944.6033601757. The cubic root of 1221125304 is about 1068.8581594583.

Adding to 1221125304 its reverse (4035211221), we get a palindrome (5256336525).

The spelling of 1221125304 in words is "one billion, two hundred twenty-one million, one hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 177283 354566 531849 709132 1063698 1240981 1418264 2127396 2481962 3722943 4254792 4963924 7268603 7445886 9927848 14537206 14891772 21805809 29074412 29783544 43611618 50880221 58148824 87223236 101760442 152640663 174446472 203520884 305281326 407041768 610562652 1221125304