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121942152 = 23331943691
BaseRepresentation
bin1110100010010…
…11000010001000
322111110022012000
413101023002020
5222204122102
620033351000
73010330323
oct721130210
9274408160
10121942152
1162918a42
1234a08460
131c356c27
14122a37ba
15aa8b01c
hex744b088

121942152 has 128 divisors (see below), whose sum is σ = 365376000. Its totient is φ = 37558080.

The previous prime is 121942103. The next prime is 121942169. The reversal of 121942152 is 251249121.

It is a super-2 number, since 2×1219421522 = 29739776868782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 176127 + ... + 176817.

It is an arithmetic number, because the mean of its divisors is an integer number (2854500).

Almost surely, 2121942152 is an apocalyptic number.

121942152 is a gapful number since it is divisible by the number (12) 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 121942152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182688000).

121942152 is an abundant number, since it is smaller than the sum of its proper divisors (243433848).

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

121942152 is a wasteful number, since it uses less digits than its factorization.

121942152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 121942152 is about 11042.7420507771. The cubic root of 121942152 is about 495.8891640135.

The spelling of 121942152 in words is "one hundred twenty-one million, nine hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 43 54 57 72 76 86 108 114 129 152 171 172 216 228 258 342 344 387 456 513 516 684 691 774 817 1026 1032 1161 1368 1382 1548 1634 2052 2073 2322 2451 2764 3096 3268 4104 4146 4644 4902 5528 6219 6536 7353 8292 9288 9804 12438 13129 14706 16584 18657 19608 22059 24876 26258 29412 29713 37314 39387 44118 49752 52516 58824 59426 74628 78774 88236 89139 105032 118161 118852 149256 157548 176472 178278 236322 237704 267417 315096 354483 356556 472644 534834 564547 708966 713112 802251 945288 1069668 1129094 1417932 1604502 1693641 2139336 2258188 2835864 3209004 3387282 4516376 5080923 6418008 6774564 10161846 13549128 15242769 20323692 30485538 40647384 60971076 121942152