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122001020000000 = 28576100051
BaseRepresentation
bin11011101111010110010011…
…011101011001011100000000
3120222222011221211221020212022
4123233112103131121130000
5111442331042110000000
61111250254520021012
734461166002432161
oct3357262335313400
9528864854836768
10122001020000000
11359673842590a9
1211824746901768
13530c8540b162b
14221ac49195768
15e187d6e65585
hex6ef593759700

122001020000000 has 144 divisors (see below), whose sum is σ = 304406112515232. Its totient is φ = 48800400000000.

The previous prime is 122001019999981. The next prime is 122001020000003. The reversal of 122001020000000 is 20100221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001020000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16949975 + ... + 23050025.

Almost surely, 2122001020000000 is an apocalyptic number.

122001020000000 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 122001020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152203056257616).

122001020000000 is an abundant number, since it is smaller than the sum of its proper divisors (182405092515232).

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

122001020000000 is an frugal number, since it uses more digits than its factorization.

122001020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100102 (or 6100058 counting only the distinct ones).

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

Adding to 122001020000000 its reverse (20100221), we get a palindrome (122001040100221).

The spelling of 122001020000000 in words is "one hundred twenty-two trillion, one billion, twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 125000 156250 160000 200000 250000 312500 400000 500000 625000 800000 1000000 1250000 2000000 2500000 4000000 5000000 6100051 10000000 12200102 20000000 24400204 30500255 48800408 61000510 97600816 122001020 152501275 195201632 244002040 305002550 390403264 488004080 610005100 762506375 780806528 976008160 1220010200 1525012750 1561613056 1952016320 2440020400 3050025500 3812531875 3904032640 4880040800 6100051000 7625063750 7808065280 9760081600 12200102000 15250127500 19062659375 19520163200 24400204000 30500255000 38125318750 39040326400 48800408000 61000510000 76250637500 95313296875 97600816000 122001020000 152501275000 190626593750 195201632000 244002040000 305002550000 381253187500 476566484375 488004080000 610005100000 762506375000 953132968750 976008160000 1220010200000 1525012750000 1906265937500 2440020400000 3050025500000 3812531875000 4880040800000 6100051000000 7625063750000 12200102000000 15250127500000 24400204000000 30500255000000 61000510000000 122001020000000