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2021012000120 = 235591319776691
BaseRepresentation
bin11101011010001101101…
…100111100110101111000
321011012120210122001101202
4131122031230330311320
5231103013033000440
64144235021033332
7266004363362441
oct35321554746570
97135523561352
102021012000120
1170a11964a543
122878289b5848
131187717bb239
146db633282c8
15378879ea615
hex1d68db3cd78

2021012000120 has 128 divisors (see below), whose sum is σ = 4665116332800. Its totient is φ = 787711641600.

The previous prime is 2021012000071. The next prime is 2021012000153. The reversal of 2021012000120 is 210002101202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302045975 + ... + 302052665.

It is an arithmetic number, because the mean of its divisors is an integer number (36446221350).

Almost surely, 22021012000120 is an apocalyptic number.

2021012000120 is a gapful number since it is divisible by the number (20) 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 2021012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332558166400).

2021012000120 is an abundant number, since it is smaller than the sum of its proper divisors (2644104332680).

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

2021012000120 is a wasteful number, since it uses less digits than its factorization.

2021012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2021012000120 its reverse (210002101202), we get a palindrome (2231014101322).

The spelling of 2021012000120 in words is "two trillion, twenty-one billion, twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 59 118 131 236 262 295 472 524 590 655 977 1048 1180 1310 1954 2360 2620 3908 4885 5240 6691 7729 7816 9770 13382 15458 19540 26764 30916 33455 38645 39080 53528 57643 61832 66910 77290 115286 127987 133820 154580 230572 255974 267640 288215 309160 394769 461144 511948 576430 639935 789538 876521 1023896 1152860 1279870 1579076 1753042 1973845 2305720 2559740 3158152 3506084 3947690 4382605 5119480 6537107 7012168 7551233 7895380 8765210 13074214 15102466 15790760 17530420 26148428 30204932 32685535 35060840 37756165 51714739 52296856 60409864 65371070 75512330 103429478 130742140 151024660 206858956 258573695 261484280 302049320 385689313 413717912 517147390 771378626 856361017 1034294780 1542757252 1712722034 1928446565 2068589560 3085514504 3425444068 3856893130 4281805085 6850888136 7713786260 8563610170 15427572520 17127220340 34254440680 50525300003 101050600006 202101200012 252626500015 404202400024 505253000030 1010506000060 2021012000120