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1220124144 = 243179142007
BaseRepresentation
bin100100010111001…
…1001110111110000
310011000212201200010
41020232121313300
54444322433034
6321023254520
742143612151
oct11056316760
93130781603
101220124144
11576801368
122a074a440
13165a1c265
14b808b928
15721b33e9
hex48b99df0

1220124144 has 40 divisors (see below), whose sum is σ = 3169618560. Its totient is φ = 404433088.

The previous prime is 1220124131. The next prime is 1220124151. The reversal of 1220124144 is 4414210221.

1220124144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12201241443 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1220124144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62412 + ... + 79595.

It is an arithmetic number, because the mean of its divisors is an integer number (79240464).

Almost surely, 21220124144 is an apocalyptic number.

It is an amenable number.

1220124144 is an abundant number, since it is smaller than the sum of its proper divisors (1949494416).

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

1220124144 is a wasteful number, since it uses less digits than its factorization.

1220124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142197 (or 142191 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1220124144 is about 34930.2754641300. The cubic root of 1220124144 is about 1068.5659725138.

Adding to 1220124144 its reverse (4414210221), we get a palindrome (5634334365).

The spelling of 1220124144 in words is "one billion, two hundred twenty million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 142007 284014 426021 568028 852042 1136056 1704084 2272112 3408168 6816336 25419253 50838506 76257759 101677012 152515518 203354024 305031036 406708048 610062072 1220124144