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1202122000020 = 2235101626931643
BaseRepresentation
bin10001011111100100000…
…011100000011010010100
311020220212221121212202210
4101133210003200122110
5124143421213000040
62320125222233420
7152564463256014
oct21374403403224
94226787555683
101202122000020
114238a9591117
12174b90285870
138948a109416
144227c29dc44
152140b14b480
hex117e40e0694

1202122000020 has 96 divisors (see below), whose sum is σ = 3399917431680. Its totient is φ = 317331289600.

The previous prime is 1202122000019. The next prime is 1202122000033. The reversal of 1202122000020 is 200002212021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37974319 + ... + 38005961.

It is an arithmetic number, because the mean of its divisors is an integer number (35415806580).

Almost surely, 21202122000020 is an apocalyptic number.

1202122000020 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 1202122000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699958715840).

1202122000020 is an abundant number, since it is smaller than the sum of its proper divisors (2197795431660).

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

1202122000020 is a wasteful number, since it uses less digits than its factorization.

1202122000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38025 (or 38023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1202122000020 its reverse (200002212021), we get a palindrome (1402124212041).

The spelling of 1202122000020 in words is "one trillion, two hundred two billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 6269 12538 18807 25076 31345 31643 37614 62690 63286 75228 94035 94929 125380 126572 158215 188070 189858 316430 376140 379716 474645 632860 633169 949290 1266338 1898580 1899507 2532676 3165845 3195943 3799014 6331690 6391886 7598028 9497535 9587829 12663380 12783772 15979715 18995070 19175658 31959430 37990140 38351316 47939145 63918860 95878290 191756580 198369967 396739934 595109901 793479868 991849835 1190219802 1983699670 2380439604 2975549505 3967399340 5951099010 11902198020 20035366667 40070733334 60106100001 80141466668 100176833335 120212200002 200353666670 240424400004 300530500005 400707333340 601061000010 1202122000020