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122000012001100 = 22523124093103939
BaseRepresentation
bin11011101111010101010111…
…011000001011111101001100
3120222222002100121012121022201
4123233111113120023331030
5111442322011033013400
61111250010511051244
734461132012534652
oct3357252730137514
9528862317177281
10122000012001100
1135966a07271662
1211824505210b24
13530c72330368c
14221ab91364dd2
15e1877870406a
hex6ef55760bf4c

122000012001100 has 108 divisors (see below), whose sum is σ = 274224439007400. Its totient is φ = 47110329388800.

The previous prime is 122000012001073. The next prime is 122000012001113. The reversal of 122000012001100 is 1100210000221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37752931 + ... + 40856869.

Almost surely, 2122000012001100 is an apocalyptic number.

122000012001100 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 122000012001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137112219503700).

122000012001100 is an abundant number, since it is smaller than the sum of its proper divisors (152224427006300).

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

122000012001100 is a wasteful number, since it uses less digits than its factorization.

122000012001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104424 (or 3104386 counting only the distinct ones).

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

Adding to 122000012001100 its reverse (1100210000221), we get a palindrome (123100222001321).

The spelling of 122000012001100 in words is "one hundred twenty-two trillion, twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 409 620 775 818 961 1550 1636 1922 2045 3100 3844 4090 4805 8180 9610 10225 12679 19220 20450 24025 25358 40900 48050 50716 63395 96100 126790 253580 316975 393049 633950 786098 1267900 1572196 1965245 3103939 3930490 6207878 7860980 9826225 12415756 15519695 19652450 31039390 39304900 62078780 77598475 96222109 155196950 192444218 310393900 384888436 481110545 962221090 1269511051 1924442180 2405552725 2539022102 2982885379 4811105450 5078044204 5965770758 6347555255 9622210900 11931541516 12695110510 14914426895 25390221020 29828853790 31737776275 39354842581 59657707580 63475552550 74572134475 78709685162 126951105100 149144268950 157419370324 196774212905 298288537900 393548425810 787096851620 983871064525 1220000120011 1967742129050 2440000240022 3935484258100 4880000480044 6100000600055 12200001200110 24400002400220 30500003000275 61000006000550 122000012001100