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1220022101120 = 2751906284533
BaseRepresentation
bin10001110000001110111…
…110111110010010000000
311022122002102211020021012
4101300032332332102000
5124442101124213440
62332245335420052
7154100166516464
oct21601676762200
94278072736235
101220022101120
11430454740aa9
12178546b24628
138b080730214
14430997244a4
1521b0786ee65
hex11c0efbe480

1220022101120 has 32 divisors (see below), whose sum is σ = 2916615337020. Its totient is φ = 488008840192.

The previous prime is 1220022101113. The next prime is 1220022101143. The reversal of 1220022101120 is 211012200221.

It can be written as a sum of positive squares in 2 ways, for example, as 1195733502016 + 24288599104 = 1093496^2 + 155848^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1220022101095 and 1220022101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 953141627 + ... + 953142906.

Almost surely, 21220022101120 is an apocalyptic number.

1220022101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220022101120 is an abundant number, since it is smaller than the sum of its proper divisors (1696593235900).

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

1220022101120 is an equidigital number, since it uses as much as digits as its factorization.

1220022101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906284552 (or 1906284540 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220022101120 its reverse (211012200221), we get a palindrome (1431034301341).

The spelling of 1220022101120 in words is "one trillion, two hundred twenty billion, twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1906284533 3812569066 7625138132 9531422665 15250276264 19062845330 30500552528 38125690660 61001105056 76251381320 122002210112 152502762640 244004420224 305005525280 610011050560 1220022101120