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122201134220 = 225117310175337
BaseRepresentation
bin111000111001111000…
…0010101010010001100
3102200102101222211000002
41301303300111102030
54000231442243340
6132045522223432
711554154334224
oct1616360252214
9380371884002
10122201134220
1147909399910
121b824ab4b78
13b6a6225059
145cb37db084
1532a3348715
hex1c73c1548c

122201134220 has 96 divisors (see below), whose sum is σ = 286600216896. Its totient is φ = 43393536000.

The previous prime is 122201134219. The next prime is 122201134241. The reversal of 122201134220 is 22431102221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122201134192 and 122201134201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584392 + ... + 1659728.

It is an arithmetic number, because the mean of its divisors is an integer number (2985418926).

Almost surely, 2122201134220 is an apocalyptic number.

122201134220 is a gapful number since it is divisible by the number (10) 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 122201134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143300108448).

122201134220 is an abundant number, since it is smaller than the sum of its proper divisors (164399082676).

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

122201134220 is a wasteful number, since it uses less digits than its factorization.

122201134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75531 (or 75529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122201134220 its reverse (22431102221), we get a palindrome (144632236441).

The spelling of 122201134220 in words is "one hundred twenty-two billion, two hundred one million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 101 110 146 202 220 292 365 404 505 730 803 1010 1111 1460 1606 2020 2222 3212 4015 4444 5555 7373 8030 11110 14746 16060 22220 29492 36865 73730 75337 81103 147460 150674 162206 301348 324412 376685 405515 753370 811030 828707 1506740 1622060 1657414 3314828 4143535 5499601 7609037 8287070 10999202 15218074 16574140 21998404 27498005 30436148 38045185 54996010 60495611 76090370 83699407 109992020 120991222 152180740 167398814 241982444 302478055 334797628 418497035 555459701 604956110 836994070 1110919402 1209912220 1673988140 2221838804 2777298505 5554597010 6110056711 11109194020 12220113422 24440226844 30550283555 61100567110 122201134220