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122220042200144 = 2472953369539579
BaseRepresentation
bin11011110010100010010010…
…001100110010010001010000
3121000202010021212211211100222
4123302202102030302101100
5112004423121300401034
61111535040125532212
734513051403423510
oct3362422214622120
9530663255754328
10122220042200144
1135a41257608869
121185b090a14068
1353273ba341c25
1422276a574d840
15e1e3553ac12e
hex6f2892332450

122220042200144 has 40 divisors (see below), whose sum is σ = 270721739991360. Its totient is φ = 52362280044288.

The previous prime is 122220042200101. The next prime is 122220042200161. The reversal of 122220042200144 is 441002240022221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184439054 + ... + 185100525.

It is an arithmetic number, because the mean of its divisors is an integer number (6768043499784).

Almost surely, 2122220042200144 is an apocalyptic number.

122220042200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122220042200144 is an abundant number, since it is smaller than the sum of its proper divisors (148501697791216).

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

122220042200144 is a wasteful number, since it uses less digits than its factorization.

122220042200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369542547 (or 369542541 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 122220042200144 its reverse (441002240022221), we get a palindrome (563222282222365).

The spelling of 122220042200144 in words is "one hundred twenty-two trillion, two hundred twenty billion, forty-two million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 2953 5906 11812 20671 23624 41342 47248 82684 165368 330736 369539579 739079158 1478158316 2586777053 2956316632 5173554106 5912633264 10347108212 20694216424 41388432848 1091250376787 2182500753574 4365001507148 7638752637509 8730003014296 15277505275018 17460006028592 30555010550036 61110021100072 122220042200144