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122101201000 = 2353196426379
BaseRepresentation
bin111000110110111001…
…1000111100001101000
3102200011102221200101201
41301231303013201220
54000030401413000
6132031552253544
711551532040562
oct1615563074150
9380142850351
10122101201000
1147867a43579
121b7b75412b4
13b68b605a7c
145ca4426332
1532996a896a
hex1c6dcc7868

122101201000 has 64 divisors (see below), whose sum is σ = 300754584000. Its totient is φ = 46269921600.

The previous prime is 122101200953. The next prime is 122101201009. The reversal of 122101201000 is 102101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122101201009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3194190 + ... + 3232189.

It is an arithmetic number, because the mean of its divisors is an integer number (4699290375).

Almost surely, 2122101201000 is an apocalyptic number.

122101201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101201000 is an abundant number, since it is smaller than the sum of its proper divisors (178653383000).

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

122101201000 is a wasteful number, since it uses less digits than its factorization.

122101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426419 (or 6426405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122101201000 its reverse (102101221), we get a palindrome (122203302221).

The spelling of 122101201000 in words is "one hundred twenty-two billion, one hundred one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 6426379 12852758 25705516 32131895 51411032 64263790 122101201 128527580 160659475 244202402 257055160 321318950 488404804 610506005 642637900 803297375 976809608 1221012010 1285275800 1606594750 2442024020 3052530025 3213189500 4884048040 6105060050 6426379000 12210120100 15262650125 24420240200 30525300250 61050600500 122101201000