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120121200096 = 2535921207839
BaseRepresentation
bin110111111011111001…
…0000000110111100000
3102111001110020012202220
41233313302000313200
53432002011400341
6131103302111040
711451500232312
oct1576762006740
9374043205686
10120121200096
1146a41316597
121b34441b480
13b4343415c1
145b574957b2
1531d0946a66
hex1bf7c80de0

120121200096 has 48 divisors (see below), whose sum is σ = 320662540800. Its totient is φ = 39361747328.

The previous prime is 120121200091. The next prime is 120121200107. The reversal of 120121200096 is 690002121021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121200091) 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, 10598256 + ... + 10609583.

It is an arithmetic number, because the mean of its divisors is an integer number (6680469600).

Almost surely, 2120121200096 is an apocalyptic number.

120121200096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120121200096 is an abundant number, since it is smaller than the sum of its proper divisors (200541340704).

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

120121200096 is a wasteful number, since it uses less digits than its factorization.

120121200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21207911 (or 21207903 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 120121200096 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 21207839 42415678 63623517 84831356 127247034 169662712 254494068 339325424 508988136 678650848 1017976272 1251262501 2035952544 2502525002 3753787503 5005050004 7507575006 10010100008 15015150012 20020200016 30030300024 40040400032 60060600048 120121200096