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21220101122112 = 263236840453337
BaseRepresentation
bin1001101001100101100001…
…00101101110100001000000
32210010121210022222102100100
410310302300211232201000
510240132231341401422
6113044214015322400
74320046613316324
oct464626045564100
983117708872310
1021220101122112
116841437970742
122468720b20400
13bac07c1c0829
145350b6271984
1526beb46147ac
hex134cb096e840

21220101122112 has 42 divisors (see below), whose sum is σ = 60823588461038. Its totient is φ = 7073367040512.

The previous prime is 21220101122089. The next prime is 21220101122137. The reversal of 21220101122112 is 21122110102212.

It can be written as a sum of positive squares in only one way, i.e., 15992768817216 + 5227332304896 = 3999096^2 + 2286336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18420226093 + ... + 18420227244.

Almost surely, 221220101122112 is an apocalyptic number.

It is an amenable number.

21220101122112 is an abundant number, since it is smaller than the sum of its proper divisors (39603487338926).

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

21220101122112 is a wasteful number, since it uses less digits than its factorization.

21220101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36840453355 (or 36840453342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21220101122112 its reverse (21122110102212), we get a palindrome (42342211224324).

The spelling of 21220101122112 in words is "twenty-one trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 36840453337 73680906674 110521360011 147361813348 221042720022 294723626696 331564080033 442085440044 589447253392 663128160066 884170880088 1178894506784 1326256320132 1768341760176 2357789013568 2652512640264 3536683520352 5305025280528 7073367040704 10610050561056 21220101122112