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122131202000 = 2453193213979
BaseRepresentation
bin111000110111110010…
…1100011111111010000
3102200020112101220000212
41301233211203333100
54000111041431000
6132034543303252
711552345042213
oct1615745437720
9380215356025
10122131202000
1147882974795
121b8055aab28
13b6948ab342
145ca83d577a
15329c132c35
hex1c6f963fd0

122131202000 has 80 divisors (see below), whose sum is σ = 310856145600. Its totient is φ = 46281283200.

The previous prime is 122131201949. The next prime is 122131202027. The reversal of 122131202000 is 202131221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568990 + ... + 1644989.

It is an arithmetic number, because the mean of its divisors is an integer number (3885701820).

Almost surely, 2122131202000 is an apocalyptic number.

122131202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131202000 is an abundant number, since it is smaller than the sum of its proper divisors (188724943600).

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

122131202000 is a wasteful number, since it uses less digits than its factorization.

122131202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214021 (or 3214005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122131202000 its reverse (202131221), we get a palindrome (122333333221).

The spelling of 122131202000 in words is "one hundred twenty-two billion, one hundred thirty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 3213979 6427958 12855916 16069895 25711832 32139790 51423664 61065601 64279580 80349475 122131202 128559160 160698950 244262404 257118320 305328005 321397900 401747375 488524808 610656010 642795800 803494750 977049616 1221312020 1285591600 1526640025 1606989500 2442624040 3053280050 3213979000 4885248080 6106560100 6427958000 7633200125 12213120200 15266400250 24426240400 30532800500 61065601000 122131202000