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1220201120 = 25511367489
BaseRepresentation
bin100100010111010…
…1100101010100000
310011001000122021002
41020232230222200
54444332413440
6321025051132
742144352445
oct11056545240
93131018232
101220201120
11576854186
122a0786aa8
13165a482c8
14b80ab9cc
15721cb115
hex48bacaa0

1220201120 has 48 divisors (see below), whose sum is σ = 2908279080. Its totient is φ = 483753984.

The previous prime is 1220201089. The next prime is 1220201131. The reversal of 1220201120 is 211020221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 216325264 + 1003875856 = 14708^2 + 31684^2 .

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 7 ways as a sum of consecutive naturals, for example, 15665 + ... + 51824.

Almost surely, 21220201120 is an apocalyptic number.

1220201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220201120 is an abundant number, since it is smaller than the sum of its proper divisors (1688077960).

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

1220201120 is a wasteful number, since it uses less digits than its factorization.

1220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67617 (or 67609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1220201120 is about 34931.3772989271. The cubic root of 1220201120 is about 1068.5884435072.

Adding to 1220201120 its reverse (211020221), we get a palindrome (1431221341).

The spelling of 1220201120 in words is "one billion, two hundred twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 67489 134978 269956 337445 539912 674890 1079824 1349780 2159648 2699560 5399120 7626257 10798240 15252514 30505028 38131285 61010056 76262570 122020112 152525140 244040224 305050280 610100560 1220201120