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1221220022112 = 25324240347299
BaseRepresentation
bin10001110001010110011…
…000101011011101100000
311022202011220220220221100
4101301112120223131200
5130002024311201422
62333004251154400
7154141653625506
oct21612630533540
94282156826840
101221220022112
11430a09957852
12178820145a00
138b2119772cc
1443170872676
1521b77ae97ac
hex11c5662b760

1221220022112 has 36 divisors (see below), whose sum is σ = 3472844438700. Its totient is φ = 407073340608.

The previous prime is 1221220022101. The next prime is 1221220022117. The reversal of 1221220022112 is 2112200221221.

It is a happy number.

1221220022112 is a `hidden beast` number, since 1 + 221 + 220 + 0 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221220022117) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2120173362 + ... + 2120173937.

It is an arithmetic number, because the mean of its divisors is an integer number (96467901075).

Almost surely, 21221220022112 is an apocalyptic number.

1221220022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221220022112 is an abundant number, since it is smaller than the sum of its proper divisors (2251624416588).

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

1221220022112 is a wasteful number, since it uses less digits than its factorization.

1221220022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240347315 (or 4240347304 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221220022112 its reverse (2112200221221), we get a palindrome (3333420243333).

The spelling of 1221220022112 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4240347299 8480694598 12721041897 16961389196 25442083794 33922778392 38163125691 50884167588 67845556784 76326251382 101768335176 135691113568 152652502764 203536670352 305305005528 407073340704 610610011056 1221220022112