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122002402160 = 24531469110487
BaseRepresentation
bin111000110011111101…
…0001110101101110000
3102122220120001011212102
41301213322032231300
53444330103332120
6132014102515532
711546222210402
oct1614772165560
9378816034772
10122002402160
11478171a2541
121b78a435ba8
13b673cc2c12
145c95268b72
153290b8ed75
hex1c67e8eb70

122002402160 has 80 divisors (see below), whose sum is σ = 292896110592. Its totient is φ = 47212166400.

The previous prime is 122002402133. The next prime is 122002402163. The reversal of 122002402160 is 61204200221.

It is a happy number.

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

It is a super-2 number, since 2×1220024021602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002402163) 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, 11628437 + ... + 11638923.

Almost surely, 2122002402160 is an apocalyptic number.

122002402160 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 122002402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146448055296).

122002402160 is an abundant number, since it is smaller than the sum of its proper divisors (170893708432).

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

122002402160 is a wasteful number, since it uses less digits than its factorization.

122002402160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222 (or 15216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122002402160 its reverse (61204200221), we get a palindrome (183206602381).

The spelling of 122002402160 in words is "one hundred twenty-two billion, two million, four hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4691 9382 10487 18764 20974 23455 37528 41948 46910 52435 75056 83896 93820 104870 145421 167792 187640 209740 290842 325097 375280 419480 581684 650194 727105 838960 1163368 1300388 1454210 1625485 2326736 2600776 2908420 3250970 5201552 5816840 6501940 11633680 13003880 26007760 49194517 98389034 196778068 245972585 393556136 491945170 787112272 983890340 1525030027 1967780680 3050060054 3935561360 6100120108 7625150135 12200240216 15250300270 24400480432 30500600540 61001201080 122002402160