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122101110120000 = 2635411471968103
BaseRepresentation
bin11011110000110011100001…
…010010111001111001000000
3121000022202022022011011111210
4123300303201102321321000
5112001001033142320000
61111404250422410120
734501341222423204
oct3360634122717100
9530282268134453
10122101110120000
11359a5876547740
121184001a890940
1353191154857cb
142221a22194b04
15e1b1e4052350
hex6f0ce14b9e40

122101110120000 has 560 divisors, whose sum is σ = 449764603656192. Its totient is φ = 28970461440000.

The previous prime is 122101110119969. The next prime is 122101110120037. The reversal of 122101110120000 is 21011101221.

122101110120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61055949 + ... + 63024051.

Almost surely, 2122101110120000 is an apocalyptic number.

122101110120000 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 122101110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224882301828096).

122101110120000 is an abundant number, since it is smaller than the sum of its proper divisors (327663493536192).

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

122101110120000 is a wasteful number, since it uses less digits than its factorization.

122101110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968196 (or 1968171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101110120000 its reverse (21011101221), we get a palindrome (122122121221221).

The spelling of 122101110120000 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred ten million, one hundred twenty thousand".