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122000214024 = 233213196860111
BaseRepresentation
bin111000110011111000…
…1111000100000001000
3102122220101221000022100
41301213301320200020
53444324023322044
6132013543553400
711546164465113
oct1614761704010
9378811830270
10122000214024
1147815a38567
121b78975b860
13b673707c70
145c94c5957a
1532908ab869
hex1c67c78808

122000214024 has 96 divisors (see below), whose sum is σ = 374562115200. Its totient is φ = 35562810240.

The previous prime is 122000214001. The next prime is 122000214029. The reversal of 122000214024 is 420412000221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122000213988 and 122000214006.

It is not an unprimeable number, because it can be changed into a prime (122000214029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412272 + ... + 3447839.

It is an arithmetic number, because the mean of its divisors is an integer number (3901688700).

Almost surely, 2122000214024 is an apocalyptic number.

It is an amenable number.

122000214024 is an abundant number, since it is smaller than the sum of its proper divisors (252561901176).

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

122000214024 is a wasteful number, since it uses less digits than its factorization.

122000214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860155 (or 6860148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122000214024 its reverse (420412000221), we get a palindrome (542412214245).

The spelling of 122000214024 in words is "one hundred twenty-two billion, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 6860111 13720222 20580333 27440444 41160666 54880888 61740999 82321332 89181443 123481998 130342109 164642664 178362886 246963996 260684218 267544329 356725772 391026327 493927992 521368436 535088658 713451544 782052654 802632987 1042736872 1070177316 1173078981 1564105308 1605265974 1694447417 2140354632 2346157962 3128210616 3210531948 3388894834 4692315924 5083342251 6421063896 6777789668 9384631848 10166684502 13555579336 15250026753 20333369004 30500053506 40666738008 61000107012 122000214024