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1221312552 = 2331910725031
BaseRepresentation
bin100100011001011…
…1100000000101000
310011010010002212020
41020302330000220
510000124000202
6321104544440
742156661665
oct11062740050
93133102766
101221312552
11577443219
122a1022120
13166047165
14b82baa6c
157234a5bc
hex48cbc028

1221312552 has 64 divisors (see below), whose sum is σ = 3244147200. Its totient is φ = 382057920.

The previous prime is 1221312511. The next prime is 1221312559. The reversal of 1221312552 is 2552131221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1221312559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36277 + ... + 61307.

It is an arithmetic number, because the mean of its divisors is an integer number (50689800).

Almost surely, 21221312552 is an apocalyptic number.

1221312552 is a gapful number since it is divisible by the number (12) 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 1221312552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622073600).

1221312552 is an abundant number, since it is smaller than the sum of its proper divisors (2022834648).

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

1221312552 is a wasteful number, since it uses less digits than its factorization.

1221312552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25166 (or 25162 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 1221312552 is about 34947.2824694568. The cubic root of 1221312552 is about 1068.9127897579.

Adding to 1221312552 its reverse (2552131221), we get a palindrome (3773443773).

The spelling of 1221312552 in words is "one billion, two hundred twenty-one million, three hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 4066 6099 8132 12198 16264 24396 25031 48792 50062 75093 100124 150186 200248 300372 475589 600744 951178 1426767 1902356 2678317 2853534 3804712 5356634 5707068 8034951 10713268 11414136 16069902 21426536 32139804 50888023 64279608 101776046 152664069 203552092 305328138 407104184 610656276 1221312552