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122101109984 = 2575310284797
BaseRepresentation
bin111000110110111001…
…0110001010011100000
3102200011102210001112202
41301231302301103200
54000030341004414
6132031550312332
711551531211330
oct1615562612340
9380142701482
10122101109984
1147867991157
121b7b74b86a8
13b68b5a3509
145ca44010c0
15329968b9de
hex1c6dcb14e0

122101109984 has 48 divisors (see below), whose sum is σ = 279911062368. Its totient is φ = 51341701632.

The previous prime is 122101109969. The next prime is 122101109989. The reversal of 122101109984 is 489901101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101109989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5130527 + ... + 5154270.

It is an arithmetic number, because the mean of its divisors is an integer number (5831480466).

Almost surely, 2122101109984 is an apocalyptic number.

122101109984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122101109984 is an abundant number, since it is smaller than the sum of its proper divisors (157809952384).

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

122101109984 is a wasteful number, since it uses less digits than its factorization.

122101109984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284867 (or 10284859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 122101109984 in words is "one hundred twenty-two billion, one hundred one million, one hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 11872 10284797 20569594 41139188 71993579 82278376 143987158 164556752 287974316 329113504 545094241 575948632 1090188482 1151897264 2180376964 2303794528 3815659687 4360753928 7631319374 8721507856 15262638748 17443015712 30525277496 61050554992 122101109984