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2120111222022 = 2322930745728949
BaseRepresentation
bin11110110110100000011…
…110011110110100000110
321111200101012022010101200
4132312200132132310012
5234213441433101042
64301544325203330
7306113222021643
oct36664036366406
97450335263350
102120111222022
11748152571732
122a2a84b60546
13124c057c1091
14748848a8dca
153a237b02c4c
hex1eda079ed06

2120111222022 has 96 divisors (see below), whose sum is σ = 4778049276000. Its totient is φ = 678600405504.

The previous prime is 2120111221981. The next prime is 2120111222029. The reversal of 2120111222022 is 2202221110212.

It is a happy number.

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 = 2120111221986 and 2120111222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120111222029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73221604 + ... + 73250552.

It is an arithmetic number, because the mean of its divisors is an integer number (49771346625).

Almost surely, 22120111222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120111222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389024638000).

2120111222022 is an abundant number, since it is smaller than the sum of its proper divisors (2657938053978).

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

2120111222022 is a wasteful number, since it uses less digits than its factorization.

2120111222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29750 (or 29747 counting only the distinct ones).

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

Adding to 2120111222022 its reverse (2202221110212), we get a palindrome (4322332332234).

The spelling of 2120111222022 in words is "two trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 307 457 522 614 914 921 1371 1842 2742 2763 4113 5526 8226 8903 13253 17806 26506 26709 28949 39759 53418 57898 79518 80127 86847 119277 140299 160254 173694 238554 260541 280598 420897 521082 839521 841794 1262691 1679042 2518563 2525382 4068671 5037126 7555689 8137342 8887343 12206013 13229693 15111378 17774686 24412026 26459386 26662029 36618039 39689079 53324058 73236078 79378158 79986087 119067237 159972174 238134474 257732947 383661097 515465894 767322194 773198841 1150983291 1546397682 2301966582 2319596523 3452949873 4061515751 4639193046 6905899746 8123031502 12184547253 24369094506 36553641759 73107283518 117783956779 235567913558 353351870337 706703740674 1060055611011 2120111222022