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122900068000 = 255359520763
BaseRepresentation
bin111001001110101101…
…0100011011010100000
3102202020010011022220101
41302131122203122200
54003144404134000
6132243130552144
711610402225103
oct1623532433240
9382203138811
10122900068000
1148137980136
121b99ab98654
13b787c80038
145d3c57873a
1532e48a9e6a
hex1c9d6a36a0

122900068000 has 96 divisors (see below), whose sum is σ = 307084115520. Its totient is φ = 48326713600.

The previous prime is 122900067943. The next prime is 122900068007. The reversal of 122900068000 is 860009221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122900068000.

It is not an unprimeable number, because it can be changed into a prime (122900068007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24382 + ... + 496381.

It is an arithmetic number, because the mean of its divisors is an integer number (3198792870).

Almost surely, 2122900068000 is an apocalyptic number.

122900068000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122900068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153542057760).

122900068000 is an abundant number, since it is smaller than the sum of its proper divisors (184184047520).

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

122900068000 is an equidigital number, since it uses as much as digits as its factorization.

122900068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520847 (or 520829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 122900068000 in words is "one hundred twenty-two billion, nine hundred million, sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 800 944 1000 1180 1475 1888 2000 2360 2950 4000 4720 5900 7375 9440 11800 14750 23600 29500 47200 59000 118000 236000 520763 1041526 2083052 2603815 4166104 5207630 8332208 10415260 13019075 16664416 20830520 26038150 30725017 41661040 52076300 61450034 65095375 83322080 104152600 122900068 130190750 153625085 208305200 245800136 260381500 307250170 416610400 491600272 520763000 614500340 768125425 983200544 1041526000 1229000680 1536250850 2083052000 2458001360 3072501700 3840627125 4916002720 6145003400 7681254250 12290006800 15362508500 24580013600 30725017000 61450034000 122900068000