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1001200020212 = 2271729591229317
BaseRepresentation
bin11101001000111000010…
…10111110101011110100
310112201021100110202202002
432210130022332223310
5112400424201121322
62043540035034432
7132222445520150
oct16443412765364
93481240422662
101001200020212
11356674345937
12142057a3ba18
1373549a99282
143665b980060
151b09bca7c92
hexe91c2beaf4

1001200020212 has 96 divisors (see below), whose sum is σ = 2230474579200. Its totient is φ = 383310563328.

The previous prime is 1001200020209. The next prime is 1001200020217. The reversal of 1001200020212 is 2120200021001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001200020193 and 1001200020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001200020217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199778 + ... + 1429094.

It is an arithmetic number, because the mean of its divisors is an integer number (23234110200).

Almost surely, 21001200020212 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 1001200020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115237289600).

1001200020212 is an abundant number, since it is smaller than the sum of its proper divisors (1229274558988).

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

1001200020212 is a wasteful number, since it uses less digits than its factorization.

1001200020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229433 (or 1229431 counting only the distinct ones).

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

Adding to 1001200020212 its reverse (2120200021001), we get a palindrome (3121400041213).

The spelling of 1001200020212 in words is "one trillion, one billion, two hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 29 34 58 59 68 116 118 119 203 236 238 406 413 476 493 812 826 986 1003 1652 1711 1972 2006 3422 3451 4012 6844 6902 7021 11977 13804 14042 23954 28084 29087 47908 58174 116348 203609 407218 814436 1229317 2458634 4917268 8605219 17210438 20898389 34420876 35650193 41796778 71300386 72529703 83593556 142600772 145059406 146288723 249551351 290118812 292577446 499102702 507707921 585154892 606053281 998205404 1015415842 1212106562 1233004951 2030831684 2103361387 2424213124 2466009902 4206722774 4242372967 4932019804 8413445548 8484745934 8631034657 14723529709 16969491868 17262069314 29447059418 34524138628 35757143579 58894118836 71514287158 143028574316 250300005053 500600010106 1001200020212