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1221122012020 = 2251917324777499
BaseRepresentation
bin10001110001010000100…
…010110011001101110100
311022201221002111111100221
4101301100202303031310
5130001324213341040
62332550430344124
7154136353562011
oct21612042631564
94281832444327
101221122012020
114309695a5379
121787b335b044
138b1c757c481
144316183c708
1521b6e1d974a
hex11c508b3374

1221122012020 has 96 divisors (see below), whose sum is σ = 2716383600000. Its totient is φ = 459819108864.

The previous prime is 1221122012009. The next prime is 1221122012041. The reversal of 1221122012020 is 202102211221.

It is a happy number.

It is a super-2 number, since 2×12211220120202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221122011985 and 1221122012003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162834231 + ... + 162841729.

It is an arithmetic number, because the mean of its divisors is an integer number (28295662500).

Almost surely, 21221122012020 is an apocalyptic number.

1221122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358191800000).

1221122012020 is an abundant number, since it is smaller than the sum of its proper divisors (1495261587980).

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

1221122012020 is a wasteful number, since it uses less digits than its factorization.

1221122012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10177 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1221122012020 its reverse (202102211221), we get a palindrome (1423224223241).

The spelling of 1221122012020 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 173 190 346 380 692 865 1730 2477 3287 3460 4954 6574 7499 9908 12385 13148 14998 16435 24770 29996 32870 37495 47063 49540 65740 74990 94126 142481 149980 188252 235315 284962 428521 470630 569924 712405 857042 941260 1297327 1424810 1714084 2142605 2594654 2849620 4285210 5189308 6486635 8141899 8570420 12973270 16283798 18575023 24649213 25946540 32567596 37150046 40709495 49298426 74300092 81418990 92875115 98596852 123246065 162837980 185750230 246492130 352925437 371500460 492984260 705850874 1411701748 1764627185 3213478979 3529254370 6426957958 7058508740 12853915916 16067394895 32134789790 61056100601 64269579580 122112201202 244224402404 305280503005 610561006010 1221122012020