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122002201044 = 223219597341413
BaseRepresentation
bin111000110011111100…
…1011101100111010100
3102122220112122221222200
41301213321131213110
53444330030413134
6132014054324500
711546220412143
oct1614771354724
9378815587880
10122002201044
1147817075429
121b78a359730
13b673c52509
145c9521575a
153290b50499
hex1c67e5d9d4

122002201044 has 144 divisors (see below), whose sum is σ = 334658251200. Its totient is φ = 37354286592.

The previous prime is 122002201019. The next prime is 122002201049. The reversal of 122002201044 is 440102200221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002201049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2925282 + ... + 2966694.

Almost surely, 2122002201044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002201044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167329125600).

122002201044 is an abundant number, since it is smaller than the sum of its proper divisors (212656050156).

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

122002201044 is a wasteful number, since it uses less digits than its factorization.

122002201044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41574 (or 41569 counting only the distinct ones).

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

Adding to 122002201044 its reverse (440102200221), we get a palindrome (562104401265).

The spelling of 122002201044 in words is "one hundred twenty-two billion, two million, two hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 73 76 114 118 146 171 177 219 228 236 292 342 354 438 531 657 684 708 876 1062 1121 1314 1387 2124 2242 2628 2774 3363 4161 4307 4484 5548 6726 8322 8614 10089 12483 12921 13452 16644 17228 20178 24966 25842 38763 40356 41413 49932 51684 77526 81833 82826 124239 155052 163666 165652 245499 248478 327332 372717 490998 496956 736497 745434 786847 981996 1472994 1490868 1573694 2360541 2443367 2945988 3023149 3147388 4721082 4886734 6046298 7081623 7330101 9069447 9442164 9773468 12092596 14163246 14660202 18138894 21990303 27208341 28326492 29320404 36277788 43980606 46423973 54416682 57439831 87961212 92847946 108833364 114879662 139271919 172319493 178365791 185695892 229759324 278543838 344638986 356731582 417815757 516958479 535097373 557087676 689277972 713463164 835631514 1033916958 1070194746 1605292119 1671263028 2067833916 2140389492 3210584238 3388950029 6421168476 6777900058 10166850087 13555800116 20333700174 30500550261 40667400348 61001100522 122002201044