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122011104013020 = 22335595776637091
BaseRepresentation
bin11011101111011111101100…
…100000110110101011011100
3121000000010222121210012012000
4123233133230200312223130
5111443012220111404040
61111255043303242300
734462003620223065
oct3357375440665334
9530003877705160
10122011104013020
1135970689435362
121182669ba49390
1353107a0305941
14221b52454756c
15e18bc73bb130
hex6ef7ec836adc

122011104013020 has 192 divisors, whose sum is σ = 386692908940800. Its totient is φ = 31929393991680.

The previous prime is 122011104012979. The next prime is 122011104013039. The reversal of 122011104013020 is 20310401110221.

122011104013020 is a `hidden beast` number, since 1 + 2 + 201 + 1 + 10 + 401 + 30 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122011104012984 and 122011104013002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15064675 + ... + 21701765.

It is an arithmetic number, because the mean of its divisors is an integer number (2014025567400).

Almost surely, 2122011104013020 is an apocalyptic number.

122011104013020 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 122011104013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193346454470400).

122011104013020 is an abundant number, since it is smaller than the sum of its proper divisors (264681804927780).

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

122011104013020 is a wasteful number, since it uses less digits than its factorization.

122011104013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637745 (or 6637737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122011104013020 its reverse (20310401110221), we get a palindrome (142321505123241).

The spelling of 122011104013020 in words is "one hundred twenty-two trillion, eleven billion, one hundred four million, thirteen thousand, twenty".