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122000200032 = 2532395317303
BaseRepresentation
bin111000110011111000…
…1110101000101100000
3102122220101220022010010
41301213301311011200
53444324022400112
6132013543404520
711546164406244
oct1614761650540
9378811808103
10122000200032
1147815a28aa7
121b789753740
13b673701799
145c94c54424
1532908a763c
hex1c67c75160

122000200032 has 48 divisors (see below), whose sum is σ = 321590545920. Its totient is φ = 40496572032.

The previous prime is 122000200031. The next prime is 122000200057. The reversal of 122000200032 is 230002000221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122000199990 and 122000200017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000200031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2635708 + ... + 2681595.

It is an arithmetic number, because the mean of its divisors is an integer number (6699803040).

Almost surely, 2122000200032 is an apocalyptic number.

122000200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122000200032 is an abundant number, since it is smaller than the sum of its proper divisors (199590345888).

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

122000200032 is a wasteful number, since it uses less digits than its factorization.

122000200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317555 (or 5317547 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 122000200032 its reverse (230002000221), we get a palindrome (352002200253).

The spelling of 122000200032 in words is "one hundred twenty-two billion, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 5317303 10634606 15951909 21269212 31903818 42538424 63807636 85076848 127615272 170153696 255230544 510461088 1270835417 2541670834 3812506251 5083341668 7625012502 10166683336 15250025004 20333366672 30500050008 40666733344 61000100016 122000200032