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122113220000 = 25546105661
BaseRepresentation
bin111000110111010000…
…0111101110110100000
3102200012021120022100212
41301232200331312200
54000041441020000
6132033102033252
711552036146442
oct1615640756640
9380167508325
10122113220000
1147873802632
121b7bb578828
13b690c535c5
145ca5c74492
15329a77ec35
hex1c6e83dda0

122113220000 has 60 divisors (see below), whose sum is σ = 300416887386. Its totient is φ = 48845280000.

The previous prime is 122113219993. The next prime is 122113220011. The reversal of 122113220000 is 22311221.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 25409635216 + 96703584784 = 159404^2 + 310972^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3032831 + ... + 3072830.

Almost surely, 2122113220000 is an apocalyptic number.

122113220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113220000 is an abundant number, since it is smaller than the sum of its proper divisors (178303667386).

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

122113220000 is an frugal number, since it uses more digits than its factorization.

122113220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105691 (or 6105668 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122113220000 its reverse (22311221), we get a palindrome (122135531221).

The spelling of 122113220000 in words is "one hundred twenty-two billion, one hundred thirteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 6105661 12211322 24422644 30528305 48845288 61056610 97690576 122113220 152641525 195381152 244226440 305283050 488452880 610566100 763207625 976905760 1221132200 1526415250 2442264400 3052830500 3816038125 4884528800 6105661000 7632076250 12211322000 15264152500 24422644000 30528305000 61056610000 122113220000