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122022120201012 = 22324687377231141
BaseRepresentation
bin11011101111101001111101…
…001000010001101100110100
3121000001012102100200112011200
4123233221331020101230310
5111443202300232413022
61111304104350332500
734462543614250203
oct3357517510215464
9530035370615150
10122022120201012
113597532181a459
12118288551ba130
1353118376aa585
14221bc8b62d23a
15e1911e5a6bac
hex6efa7d211b34

122022120201012 has 36 divisors (see below), whose sum is σ = 308445504530436. Its totient is φ = 40673947668480.

The previous prime is 122022120200963. The next prime is 122022120201043. The reversal of 122022120201012 is 210102021220221.

It is a happy number.

122022120201012 is a `hidden beast` number, since 1 + 220 + 221 + 20 + 201 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46420729852176 + 75601390348836 = 6813276^2 + 8694906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1220221202010122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13258962 + ... + 20490102.

It is an arithmetic number, because the mean of its divisors is an integer number (8567930681401).

Almost surely, 2122022120201012 is an apocalyptic number.

122022120201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122022120201012 is an abundant number, since it is smaller than the sum of its proper divisors (186423384329424).

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

122022120201012 is a wasteful number, since it uses less digits than its factorization.

122022120201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699888 (or 7699883 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122022120201012 its reverse (210102021220221), we get a palindrome (332124141421233).

The spelling of 122022120201012 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 468737 937474 1406211 1874948 2812422 4218633 5624844 7231141 8437266 14462282 16874532 21693423 28924564 43386846 65080269 86773692 130160538 260321076 3389503338917 6779006677834 10168510016751 13558013355668 20337020033502 30505530050253 40674040067004 61011060100506 122022120201012