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12022625680 = 2451319995783
BaseRepresentation
bin10110011001001101…
…01011010110010000
31011000212200122221121
423030212223112100
5144110243010210
65304554332024
7603634426552
oct131446532620
934025618847
1012022625680
11510a50568a
1223b642a014
131197a570c0
14820a2b4d2
154a573e6da
hex2cc9ab590

12022625680 has 80 divisors (see below), whose sum is σ = 30123072000. Its totient is φ = 4436135424.

The previous prime is 12022625677. The next prime is 12022625701. The reversal of 12022625680 is 8652622021.

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

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, 2076069 + ... + 2081851.

It is an arithmetic number, because the mean of its divisors is an integer number (376538400).

Almost surely, 212022625680 is an apocalyptic number.

12022625680 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 12022625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061536000).

12022625680 is an abundant number, since it is smaller than the sum of its proper divisors (18100446320).

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

12022625680 is a wasteful number, since it uses less digits than its factorization.

12022625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 12022625680 in words is "twelve billion, twenty-two million, six hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1999 3998 5783 7996 9995 11566 15992 19990 23132 25987 28915 31984 39980 46264 51974 57830 75179 79960 92528 103948 115660 129935 150358 159920 207896 231320 259870 300716 375895 415792 462640 519740 601432 751790 1039480 1202864 1503580 2078960 3007160 6014320 11560217 23120434 46240868 57801085 92481736 115602170 150282821 184963472 231204340 300565642 462408680 601131284 751414105 924817360 1202262568 1502828210 2404525136 3005656420 6011312840 12022625680