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122000211010020 = 22357939130931391
BaseRepresentation
bin11011101111010101100011…
…001111010110000111100100
3120222222002212110200022020110
4123233111203033112013210
5111442322413004310040
61111250042340333020
734461136650223620
oct3357254317260744
9528862773608213
10122000211010020
1135966aa9637a42
121182455b9a4170
13530c755601835
14221abad96a180
15e1878ae14980
hex6ef5633d61e4

122000211010020 has 96 divisors (see below), whose sum is σ = 390442259644416. Its totient is φ = 27882792201600.

The previous prime is 122000211009991. The next prime is 122000211010031. The reversal of 122000211010020 is 20010112000221.

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 = 122000211009978 and 122000211010005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11521476 + ... + 19409915.

It is an arithmetic number, because the mean of its divisors is an integer number (4067106871296).

Almost surely, 2122000211010020 is an apocalyptic number.

122000211010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000211010020 is an abundant number, since it is smaller than the sum of its proper divisors (268442048634396).

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

122000211010020 is a wasteful number, since it uses less digits than its factorization.

122000211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30940801 (or 30940799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000211010020 its reverse (20010112000221), we get a palindrome (142010323010241).

The spelling of 122000211010020 in words is "one hundred twenty-two trillion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 9391 18782 28173 37564 46955 56346 65737 93910 112692 131474 140865 187820 197211 262948 281730 328685 394422 563460 657370 788844 986055 1314740 1972110 3944220 30931391 61862782 92794173 123725564 154656955 185588346 216519737 309313910 371176692 433039474 463970865 618627820 649559211 866078948 927941730 1082598685 1299118422 1855883460 2165197370 2598236844 3247796055 4330394740 6495592110 12991184220 290476692881 580953385762 871430078643 1161906771524 1452383464405 1742860157286 2033336850167 2904766928810 3485720314572 4066673700334 4357150393215 5809533857620 6100010550501 8133347400668 8714300786430 10166684250835 12200021101002 17428601572860 20333368501670 24400042202004 30500052752505 40666737003340 61000105505010 122000211010020