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202201122201012 = 2232112457120780957
BaseRepresentation
bin101101111110011010011110…
…000011111101110110110100
3222111221020102212101022102100
4231332122132003331312310
5203000330344240413022
61554013525125142100
760406356206316624
oct5576323603756664
9874836385338370
10202201122201012
1159478018123590
121a817b2285a930
1388a963a49728c
1437d082d632884
151859aadcb01ac
hexb7e69e0fddb4

202201122201012 has 72 divisors (see below), whose sum is σ = 557607632373792. Its totient is φ = 61270570670400.

The previous prime is 202201122201007. The next prime is 202201122201017. The reversal of 202201122201012 is 210102221102202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202201122201007) and next prime (202201122201017).

It is a super-2 number, since 2×2022011222010122 (a number of 29 digits) contains 22 as substring.

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 (202201122201017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660363 + ... + 20120594.

It is an arithmetic number, because the mean of its divisors is an integer number (7744550449636).

Almost surely, 2202201122201012 is an apocalyptic number.

202201122201012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202201122201012 is an abundant number, since it is smaller than the sum of its proper divisors (355406510172780).

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

202201122201012 is a wasteful number, since it uses less digits than its factorization.

202201122201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20805549 (or 20805544 counting only the distinct ones).

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

Adding to 202201122201012 its reverse (210102221102202), we get a palindrome (412303343303214).

The spelling of 202201122201012 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 24571 49142 73713 98284 147426 221139 270281 294852 442278 540562 810843 884556 1081124 1621686 2432529 3243372 4865058 9730116 20780957 41561914 62342871 83123828 124685742 187028613 228590527 249371484 374057226 457181054 685771581 748114452 914362108 1371543162 2057314743 2743086324 4114629486 8229258972 510608894447 1021217788894 1531826683341 2042435577788 3063653366682 4595480050023 5616697838917 6127306733364 9190960100046 11233395677834 16850093516751 18381920200092 22466791355668 33700187033502 50550280550253 67400374067004 101100561100506 202201122201012