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1022221121112 = 2332103275350069
BaseRepresentation
bin11101110000000010010…
…00000111011001011000
310121201112100101100002200
432320001020013121120
5113222002101333422
62101334002130200
7133565410110462
oct16700110073130
93551470340080
101022221121112
113645811a00a4
12146143950960
1375519b8b609
1437693707132
151b8cc4c22ac
hexee01207658

1022221121112 has 96 divisors (see below), whose sum is σ = 2796465578400. Its totient is φ = 337302908928.

The previous prime is 1022221121101. The next prime is 1022221121167. The reversal of 1022221121112 is 2111211222201.

1022221121112 is a `hidden beast` number, since 10 + 222 + 211 + 211 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20391214 + ... + 20441282.

It is an arithmetic number, because the mean of its divisors is an integer number (29129849775).

Almost surely, 21022221121112 is an apocalyptic number.

1022221121112 is a gapful number since it is divisible by the number (12) 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 1022221121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398232789200).

1022221121112 is an abundant number, since it is smaller than the sum of its proper divisors (1774244457288).

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

1022221121112 is a wasteful number, since it uses less digits than its factorization.

1022221121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52937 (or 52930 counting only the distinct ones).

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

Adding to 1022221121112 its reverse (2111211222201), we get a palindrome (3133432343313).

The spelling of 1022221121112 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 2753 3708 5506 7416 8259 11012 16518 22024 24777 33036 49554 50069 66072 99108 100138 150207 198216 200276 283559 300414 400552 450621 567118 600828 850677 901242 1134236 1201656 1701354 1802484 2268472 2552031 3402708 3604968 5104062 5157107 6805416 10208124 10314214 15471321 20416248 20628428 30942642 41256856 46413963 61885284 92827926 123770568 137839957 185655852 275679914 371311704 413519871 551359828 827039742 1102719656 1240559613 1654079484 2481119226 3308158968 4962238452 9924476904 14197515571 28395031142 42592546713 56790062284 85185093426 113580124568 127777640139 170370186852 255555280278 340740373704 511110560556 1022221121112