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122430424202000 = 2453206932958257
BaseRepresentation
bin11011110101100110001101…
…111100011011101100010000
3121001111020022202200212000122
4123311212031330123230100
5112021400002043431000
61112215432130205412
734534210021063505
oct3365461574335420
9531436282625018
10122430424202000
11360124a6786692
1211893a05423868
1353411a752a965
1422339425d14ac
15e24a69eea085
hex6f598df1bb10

122430424202000 has 80 divisors (see below), whose sum is σ = 296051171927472. Its totient is φ = 48969786521600.

The previous prime is 122430424201957. The next prime is 122430424202077. The reversal of 122430424202000 is 202424034221.

It can be written as a sum of positive squares in 8 ways, for example, as 4548852902416 + 117881571299584 = 2132804^2 + 10857328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39906872 + ... + 42865128.

Almost surely, 2122430424202000 is an apocalyptic number.

122430424202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122430424202000 is an abundant number, since it is smaller than the sum of its proper divisors (173620747725472).

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

122430424202000 is a wasteful number, since it uses less digits than its factorization.

122430424202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978973 (or 2978957 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 122430424202000 its reverse (202424034221), we get a palindrome (122632848236221).

The spelling of 122430424202000 in words is "one hundred twenty-two trillion, four hundred thirty billion, four hundred twenty-four million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20693 41386 82772 103465 165544 206930 331088 413860 517325 827720 1034650 1655440 2069300 2586625 2958257 4138600 5173250 5916514 8277200 10346500 11833028 14791285 20693000 23666056 29582570 41386000 47332112 59165140 73956425 118330280 147912850 236660560 295825700 369782125 591651400 739564250 1183302800 1479128500 2958257000 5916514000 61215212101 122430424202 244860848404 306076060505 489721696808 612152121010 979443393616 1224304242020 1530380302525 2448608484040 3060760605050 4897216968080 6121521210100 7651901512625 12243042420200 15303803025250 24486084840400 30607606050500 61215212101000 122430424202000