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2212021012122 = 23217231991579381
BaseRepresentation
bin100000001100000110101…
…110100000011010011010
321211110121112210020000200
4200030012232200122122
5242220204334341442
64412104411043030
7315545641241445
oct40140656403232
97743545706020
102212021012122
11783127215349
122b8855440476
1313079219406c
14790c329c65c
153c81697334c
hex20306ba069a

2212021012122 has 96 divisors (see below), whose sum is σ = 5321885587200. Its totient is φ = 660458810880.

The previous prime is 2212021012087. The next prime is 2212021012141. The reversal of 2212021012122 is 2212101202122.

It is a happy number.

2212021012122 is a `hidden beast` number, since 221 + 20 + 210 + 1 + 212 + 2 = 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 = 2212021012095 and 2212021012104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610872 + ... + 2190252.

It is an arithmetic number, because the mean of its divisors is an integer number (55436308200).

Almost surely, 22212021012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212021012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660942793600).

2212021012122 is an abundant number, since it is smaller than the sum of its proper divisors (3109864575078).

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

2212021012122 is a wasteful number, since it uses less digits than its factorization.

2212021012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579628 (or 1579625 counting only the distinct ones).

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

Adding to 2212021012122 its reverse (2212101202122), we get a palindrome (4424122214244).

The spelling of 2212021012122 in words is "two trillion, two hundred twelve billion, twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 199 207 306 391 398 414 597 782 1173 1194 1791 2346 3383 3519 3582 4577 6766 7038 9154 10149 13731 20298 27462 30447 41193 60894 77809 82386 155618 233427 466854 700281 1400562 1579381 3158762 4738143 9476286 14214429 26849477 28428858 36325763 53698954 72651526 80548431 108977289 161096862 217954578 241645293 314296819 326931867 483290586 617537971 628593638 653863734 942890457 1235075942 1852613913 1885780914 2828671371 3705227826 5343045923 5557841739 5657342742 7228826837 10686091846 11115683478 14457653674 16029137769 21686480511 32058275538 43372961022 48087413307 65059441533 96174826614 122890056229 130118883066 245780112458 368670168687 737340337374 1106010506061 2212021012122