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20001201612 = 22372312714049
BaseRepresentation
bin10010101000001010…
…100001110111001100
31220121220210022112220
4102220022201313030
5311430301422422
613104411055340
71305435260100
oct225012416714
956556708486
1020001201612
11853417a897
123a62441550
131b69a08852
14d7a519900
157c0e06e5c
hex4a82a1dcc

20001201612 has 144 divisors (see below), whose sum is σ = 56260915200. Its totient is φ = 5508518400.

The previous prime is 20001201551. The next prime is 20001201707. The reversal of 20001201612 is 21610210002.

20001201612 is an astonishing number since 20001201612 = 1612 + ... + 200012.

It is a junction number, because it is equal to n+sod(n) for n = 20001201591 and 20001201600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4937764 + ... + 4941812.

It is an arithmetic number, because the mean of its divisors is an integer number (390700800).

Almost surely, 220001201612 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 20001201612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28130457600).

20001201612 is an abundant number, since it is smaller than the sum of its proper divisors (36259713588).

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

20001201612 is a wasteful number, since it uses less digits than its factorization.

20001201612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20001201612 its reverse (21610210002), we get a palindrome (41611411614).

The spelling of 20001201612 in words is "twenty billion, one million, two hundred one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 271 294 372 434 542 588 651 813 868 1084 1302 1519 1626 1897 2604 3038 3252 3794 4049 4557 5691 6076 7588 8098 8401 9114 11382 12147 13279 16196 16802 18228 22764 24294 25203 26558 28343 33604 39837 48588 50406 53116 56686 58807 79674 85029 100812 113372 117614 125519 159348 170058 176421 198401 235228 251038 340116 352842 376557 396802 411649 502076 595203 705684 753114 793604 823298 878633 1097279 1190406 1234947 1506228 1646596 1757266 2194558 2380812 2469894 2635899 3291837 3514532 4389116 4939788 5271798 6150431 6583674 7680953 10543596 12300862 13167348 15361906 18451293 23042859 24601724 30723812 34015649 36902586 46085718 53766671 68031298 73805172 92171436 102046947 107533342 136062596 161300013 204093894 215066684 238109543 322600026 408187788 476219086 645200052 714328629 952438172 1428657258 1666766801 2857314516 3333533602 5000300403 6667067204 10000600806 20001201612