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1201204400022 = 23211471071206341
BaseRepresentation
bin10001011110101101010…
…111001000111110010110
311020211111222222222012200
4101132231113020332112
5124140031311300042
62315454203025330
7152532651635244
oct21365527107626
94224458888180
101201204400022
11423478628710
12174974b0b246
1389371c8cb43
14421d2481794
15213a57e4c4c
hex117ad5c8f96

1201204400022 has 96 divisors (see below), whose sum is σ = 2926720802304. Its totient is φ = 352926830400.

The previous prime is 1201204399999. The next prime is 1201204400059. The reversal of 1201204400022 is 2200044021021.

1201204400022 is a `hidden beast` number, since 1 + 201 + 2 + 0 + 440 + 0 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1201204399968 and 1201204400004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392572 + ... + 1598912.

It is an arithmetic number, because the mean of its divisors is an integer number (30486675024).

Almost surely, 21201204400022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201204400022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463360401152).

1201204400022 is an abundant number, since it is smaller than the sum of its proper divisors (1725516402282).

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

1201204400022 is a wasteful number, since it uses less digits than its factorization.

1201204400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206514 (or 1206511 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1201204400022 its reverse (2200044021021), we get a palindrome (3401248421043).

The spelling of 1201204400022 in words is "one trillion, two hundred one billion, two hundred four million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 107 141 198 214 282 321 423 517 642 846 963 1034 1177 1551 1926 2354 3102 3531 4653 5029 7062 9306 10058 10593 15087 21186 30174 45261 55319 90522 110638 165957 331914 497871 995742 1206341 2412682 3619023 7238046 10857069 13269751 21714138 26539502 39809253 56698027 79618506 113396054 119427759 129078487 170094081 238855518 258156974 340188162 387235461 510282243 623678297 774470922 1020564486 1161706383 1247356594 1419863357 1871034891 2323412766 2839726714 3742069782 4259590071 5613104673 6066688889 8519180142 11226209346 12133377778 12778770213 18200066667 25557540426 36400133334 54600200001 66733577779 109200400002 133467155558 200200733337 400401466674 600602200011 1201204400022