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122021200992 = 25310711879011
BaseRepresentation
bin111000110100100000…
…1111100010001100000
3102122221212102021000110
41301221001330101200
53444344411412432
6132020013451320
711546541044445
oct1615101742140
9378855367013
10122021200992
1147826872369
121b7947a0b40
13b677b756a2
145c9795d9cc
153292654dcc
hex1c6907c460

122021200992 has 48 divisors (see below), whose sum is σ = 323299190592. Its totient is φ = 40293601920.

The previous prime is 122021200969. The next prime is 122021200997. The reversal of 122021200992 is 299002120221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021200997) 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, 5929234 + ... + 5949777.

It is an arithmetic number, because the mean of its divisors is an integer number (6735399804).

Almost surely, 2122021200992 is an apocalyptic number.

122021200992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122021200992 is an abundant number, since it is smaller than the sum of its proper divisors (201277989600).

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

122021200992 is a wasteful number, since it uses less digits than its factorization.

122021200992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879131 (or 11879123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 122021200992 in words is "one hundred twenty-two billion, twenty-one million, two hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 11879011 23758022 35637033 47516044 71274066 95032088 142548132 190064176 285096264 380128352 570192528 1140385056 1271054177 2542108354 3813162531 5084216708 7626325062 10168433416 15252650124 20336866832 30505300248 40673733664 61010600496 122021200992